{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "sys.path.append('../')\n",
    "\n",
    "import torch\n",
    "import pandas as pd\n",
    "from scipy.sparse.linalg import spsolve\n",
    "from tqdm import tqdm\n",
    "\n",
    "from HeatMultibcDs import C2ValDS, C4ValDs\n",
    "from UniformICD import UniformFVM\n",
    "from Problems.BlockSourceProblem import BlockSourceProblem\n",
    "from utils import layout2csv, ChipLayout\n",
    "from MyPlot import *\n",
    "from BaseTester import BaseTester\n",
    "from scipy.sparse import load_npz\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "class HeatTester(BaseTester):\n",
    "\tdef __init__(self,  **kwargs):\n",
    "\t\tsuper().__init__(**kwargs)\n",
    "\t\tself.boundary_gap = 0.001\n",
    "\t\tself.chip_gap = 0.001\n",
    "\t\tself.mesh()\n",
    "\t\t# self.gen_linsys()\n",
    "\n",
    "\t\tself.h = 0.1 / self.GridSize\n",
    "\t\n",
    "\tdef l2(self, pre, ans):\n",
    "\t\treturn np.sqrt(((pre - ans)**2 * self.h**2).sum())\n",
    "\t\n",
    "\tdef relative_l2(self, pre, ans):\n",
    "\t\treturn np.sqrt(((pre - ans)**2).sum()) / np.sqrt((ans**2).sum())\n",
    "\t\t\t\n",
    "\tdef init_test_ds(self, DataN):\t\t\t\n",
    "\t\tmatch self.kwargs['net_kwargs']['in_channels']:\n",
    "\t\t\tcase 2:\n",
    "\t\t\t\tds1 = C2ValDS(self.GridSize, DataN, self.dtype, self.device, [1]*DataN) \n",
    "\t\t\t\tds2 = C2ValDS(self.GridSize, DataN, self.dtype, self.device, [2]*DataN) \n",
    "\t\t\t\tds3 = C2ValDS(self.GridSize, DataN, self.dtype, self.device, [3]*DataN) \n",
    "\t\t\tcase 4:\n",
    "\t\t\t\tds1 = C4ValDs(self.GridSize, DataN, self.dtype, self.device, [1]*DataN) \n",
    "\t\t\t\tds2 = C4ValDs(self.GridSize, DataN, self.dtype, self.device, [2]*DataN) \n",
    "\t\t\t\tds3 = C4ValDs(self.GridSize, DataN, self.dtype, self.device, [3]*DataN) \n",
    "\t\t\t\n",
    "\t\tself.all_ds = [ds1, ds2, ds3]\n",
    "\n",
    "\tdef test(self, exp_name, DataN, best_or_last):\n",
    "\t\tself.load_kwargs(exp_name)\n",
    "\t\tself.init_test_ds(DataN)\n",
    "\t\tself.load_ckpt(best_or_last, exp_name)\n",
    "\n",
    "\t\tdf = {\n",
    "\t\t\t# 'id': [],\n",
    "\t\t\t'l2_bd1': [],\n",
    "\t\t\t'l2_bd2': [],\n",
    "\t\t\t'l2_bd3': []\n",
    "\n",
    "\t\t}\n",
    "\n",
    "\t\twith torch.no_grad():\n",
    "\t\t\tfor i, ds in enumerate(self.all_ds):\n",
    "\t\t\t\tfor data, ans in ds:\n",
    "\t\t\t\t\t# pre = self.net(data[None, ...])**2 + 298 \n",
    "\t\t\t\t\tpre = self.net(data[None, ...])\n",
    "\n",
    "\t\t\t\t\t# l2 = self.relative_l2(pre.cpu().numpy().squeeze(), ans.cpu().numpy().squeeze())\n",
    "\t\t\t\t\tl2 = self.l2(pre.cpu().numpy().squeeze(), ans.cpu().numpy().squeeze())\n",
    "\t\t\t\t\tdf[f'l2_bd{i+1}'].append(l2)\n",
    "\t\t\t\t\t\n",
    "\t\t\t\t# if  max(errors) < 0.015:\n",
    "\t\t\t\t# \tfor j in range(3):\n",
    "\t\t\t\t# \t\tself.save_img(f\"{self.img_save_path}/{exp_name}/TestCase-{i}-{j}\", pre[j], ans[j], boundary[j], layout[j])\n",
    "\n",
    "\t\tdf = pd.DataFrame(df)\n",
    "\t\tp = Path(f\"{self.img_save_path}/{exp_name}\")\n",
    "\t\tif not p.is_dir():\n",
    "\t\t\tp.mkdir(parents=True)\n",
    "\t\tdf.to_csv(f\"{self.img_save_path}/{exp_name}/l2-{best_or_last}.csv\", index=False)\n",
    "\t\t\n",
    "\tdef save_img(self, path, pre, ans, boundary, Force):\n",
    "\t\tp = Path(path)\n",
    "\t\tif not p.is_dir():\n",
    "\t\t\tp.mkdir(parents=True)\n",
    "\n",
    "\t\tpre = pre.cpu().numpy().reshape(self.GridSize, self.GridSize)\n",
    "\t\tans = ans.reshape(self.GridSize, self.GridSize)\n",
    "\t\tboundary = boundary.cpu().numpy().reshape(self.GridSize, self.GridSize)\n",
    "\t\tForce = Force.cpu().numpy().reshape(self.GridSize, self.GridSize)\n",
    "\n",
    "\t\tsave_surf(path, pre, self.xx, self.yy, 'surf_pre', cmap=cm.coolwarm)\n",
    "\t\tsave_surf(path, ans, self.xx, self.yy, 'surf_ref', cmap=cm.coolwarm)\n",
    "\t\tsave_ctf(path, pre, ans, self.xx, self.yy, cmap=cm.coolwarm)\n",
    "\t\tsave_contour(path, pre, ans, self.xx, self.yy, levels=None)\n",
    "\t\tsave_img_force(path, Force, 'force', cmap=cm.coolwarm)\n",
    "\t\tsave_img_force(path, boundary, 'boundary', cmap=cm.coolwarm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "heat_tester = HeatTester(\n",
    "    GridSize=128,\n",
    "    area=((0, 0), (0.1, 0.1)),\n",
    "    ckpt_save_path=f'model_save',\n",
    "    hyper_parameters_save_path = f'hyper_parameters', \n",
    "    img_save_path = f'./images', \n",
    "    device='cuda',\n",
    "    dtype=torch.double,\n",
    "    )\n",
    "\n",
    "exp_name = 'C2_double'\n",
    "best_or_last='last'\n",
    "\n",
    "DataN = 2000\n",
    "heat_tester.test(exp_name, DataN, best_or_last)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.017586006740056056\n"
     ]
    },
    {
     "data": {
      "image/png": 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LhAYdMxIsHTPms1gsuFwuDK8Pm88fcD/D68PlcmGxWC7oz1DHjARLx4wEqzocM1Wx/5CYVCYxMbH48bkuPzlz25l9KnPs2NjY4stF4ez7Djt27Fhm/9Pb8vLyyMjICCibiIiIiIhIVQqJgrBjx45YLEVRz5wV9OdOb2vUqFFAE8rA2TOLBjJ2p06dznq+W7duxY8No+yb7v1+f0DtRERERERELpSQKAgjIyPp27cvAEuXLi21jd/vZ9myZQAMHjw44LHbt29P8+bNzzl2Xl4ea9euLXXsNm3a0Lp1a6DkkhRnSkpKAorOMNarVy/gfCIiIiIiIlUlJApCgDFjxgCwevVqvv322xLb582bx08//QRw3qUdfu50+7lz55KcnFxi++uvv05ubi5Wq5Xbb7+9xPa77rqrOENp/Y8cOcIHH3wAwHXXXVd8tlNERERERMRMIVOZjBkzhq5du+L3+7n55ptZtWoVUDTL57x58xg7diwAw4YNY+DAgWf1nTRpEoZhYBhGqQXbhAkTaNSoEU6nk+HDh7Np0yYACgoKePPNN5k4cSIA48aNo127diX6P/7447Ro0QK3280NN9zAhg0birdt3LiRESNG4HQ6cTgcPPvss5Xy/RAREREREamokJhlFMBms7FgwQIGDBhAcnIygwYNIjIyEp/PR35+PgA9evRg9uzZQY8dFxfHokWLGDJkCLt27aJXr17ExMSQn59fvPjj4MGDefnll0vtHxUVxdKlSxk0aBDbt2+nT58+xRPP5ObmAhAdHc0HH3xwzolnRERERERELqSQOUMI0LJlS7Zt28azzz5Lly5dMAwDu91Oz549mTJlChs2bKBu3brlGrtnz57s3LmTxx57jLZt2+LxeIiKiuLKK69kxowZLFmypNTlIE7r0KEDO3fu5Nlnny2eaMbr9dK+fXseeeQRduzYwYgRI8qVTUREREREpCqEzBnC02JiYpg8eTKTJ08OuM+kSZOYNGnSeds1bNiQqVOnMnXq1HJli4uLCzqbiIiIiIiIWULqDKGIiIiIiIhUHhWEIiIiIiIitZQKQhERERERkVpKBaGIiIiIiEgtpYJQRERERESkllJBKCIiIiIiUkupIBQREREREamlVBCKiIiIiIjUUioIRUREREREaikVhCIiIiIiIrWUCkIREREREZFaSgWhiIiIiIhILaWCUEREREREpJZSQSgiIiIiIlJLqSAUERERERGppVQQioiIiIiI1FIqCEVERERERGopFYQiIiIiIiK1lApCERERERGRWkoFoYiIiIiISC2lglBERERERKSWUkEoIiIiIiJSS6kgFBERERERqaVUEIqIiIiIiNRSKghFRERERERqKRWEIiIiIiIitZQKQhERERERkVpKBaGIiIiIiEgtpYJQRERERESkllJBKCIiIiIiUkupIBQREREREamlVBCKiIiIiIjUUioIRUREREREaikVhCIiIiIiIrWUCkIREREREZFaSgWhiIiIiIhILaWCUEREREREpJZSQSgiIiIiIlJLqSAUERERERGppVQQioiIiIiI1FIqCEVERERERGopFYQiIiIiIiK1lApCERERERGRWkoFoYiIiIiISC2lglBERERERKSWspkdQERERAQgJSWF9PT0oPr4fL4qSiMiUjuoIBQRERHTpaSk0LFDB5wuV1D9HA4HH3zwAYcPH6ZVq1ZVlE5EpOZSQSgiIiKmS09Px+lyMW3kWNolNA64377MEwBkZGSoIBQRKQcVhCIiIhdQeS6LBKhfvz7NmzevgkTVS7uExnRv0iLg9n6rhZwqzCMiUtOpIBQREblAyntZJECkw0HS7t21oigUEZELRwWhiIjIBVLeyyL3Hj/KA3NnkJ6eroJQREQqlQpCERGRCyzYyyJFRESqSsitQ5iTk8OkSZPo2rUr0dHRxMXF0bt3b1566SUKCgoqNHZaWhpPPPEE7du3x+FwEB8fT79+/Xj77bfx+/1l9rvrrrswDOO8X4WFhRXKJyIiIiIiUplC6gzhwYMH6d+/P8nJyQBERkbidrvZuHEjGzduZPbs2axatYq6desGPfamTZsYMmQIGRkZAERHR5OTk8O6detYt24d8+bNY8GCBYSHh5c5RkREBHFxcWVuNwwj6FwiIiIiIiJVJWTOEHq9Xq6//nqSk5Np3LgxK1asIC8vD6fTydy5c4mJiWHLli3cfvvtQY+dlZXFiBEjyMjIoEOHDnz//ffk5OSQl5fHa6+9ht1uZ/ny5Tz22GPnHOe2227j2LFjZX5ZrdbyvnwREREREZFKFzIF4cyZM9m+fTsA8+fPZ9CgQQBYLBZuu+023nrrLQCWLFnCqlWrghp7ypQpHDt2DIfDweLFi+nVqxcAYWFhPPTQQ0yePBmA6dOns3fv3sp6SSIiIiIiIqYKmYLw3XffBWDAgAH06dOnxPaRI0cWL0g7a9asoMY+3f7MMc40fvx4oqOj8Xq9zJ49O9joIiIiIiIi1VJIFIROp5P169cDMGzYsFLbGIbB0KFDAVi+fHnAY+/Zs4eUlJRzjh0dHU2/fv2CHltERERERKQ6C4mCMCkpCZ/PB0CXLl3KbHd627Fjx8jMzAxo7B07dpTof66xd+3aVWabVatW0a5dOyIiIoiNjaVr1648+uij7Nu3L6AsIiIiIiIiF1JIzDKamppa/LhJkyZltjtzW2pqKvHx8ZU+dnZ2Nrm5uURHR5doc/jwYaxWK7GxsWRnZ7Njxw527NjBm2++ySuvvMJvfvOb8+Zxu9243e7if2dnZwPg8XjweDzn7V+VTu/f7BwSOnTMSLBq+jHj8/lwOBz4rRYKLYHPPO23WnA4HPh8vgv2vbnQWSuyv9P9a+pxI5Wrpv+ekcpXnY6Zqshg+M+1wF41MWfOnOLZQ/ft20ebNm1KbbdixQoGDx4MwNdff13qvYY/99xzz/HMM88ARd9gm630GnnGjBmMGzcOKCoiGzduXLztn//8J1arlREjRtC0aVOsVitOp5OlS5fy+9//nv379wMwb948brnllnPmmTRpUvEkNmeaM2cOkZGR5309IiIiIiJSMzmdTkaNGkVWVhaxsbGVMmZInCGs7h555JESz0VGRvLLX/6Sq6++ml69epGcnMyECRO4+eabz7ke4dNPP83jjz9e/O/s7GyaNWvG4MGDK+2HXl4ej4cVK1Zw7bXXYrfbTc0ioUHHjASrph8zW7du5aqrrmLRA0/SJbF5wP12pKYwYtoLrFmzhu7du1dhQvD7/eD2sG3zFq4fNowPxoynY7OWYLcFtJ5uebOW93uzPe0wuVd2o3HjxvTo0SPgflJ71fTfM1L5qtMxc/rqwcoUEgVhTExM8WOn01lmuzO3ndknmLHLKrrKMzZAvXr1eOaZZxg7diwHDx5ky5YtXHLJJWW2Dw8PJzw8vMTzdrvd9APwtOqURUKDjhkJVk09ZiwWCy6XC8Prw+YL/AIdw+vD5XKxZ88eLJbgbv+vX78+zZsXFVh+vx/vsXQK9iTjST5C4aFjFB5OozD1BN7MU/hOZuPNzAavl7rAuqiL4aO15LK2aDC7DUtkBJa4GCx1YrDWicXaqB62xg0wwuxnZbVYLEH9DCvyvTndvyYeM1J1aurvGak61eGYqYr9h0RBmJiYWPz4yJEjdOvWrdR2R44cKbVPMGOXVRCeHjs2NrbU+wfP5cxLV3/66adzFoQiIiI/l5aThQGMHj064D71DDsdbFF0jojjydvuIOxIOp49yfiyc8sfxFOILysXX1YupBz9/+cNA2vDetiaNcJeL6L844uIyAUXEgVhx44dsVgs+Hw+duzYUebyEKdnDG3UqFFAE8rA2TOL7tixg44dO55z7E6dOgUTXUREpMKyXE78wN+H3sKl7Up5H/L6CDuZS3h6FmEZWYSnZ2PLyy/e7P/0S4qnK7Nasbduir11U2xNG2Jv1ghbYgKW+nWwxsdhjY/DiHKwdecOel/Rh5XjJ9ItoQn+Ag9+jwdfngvfqRx8p3LxZp6iMPU4/hwn3mPpeI+l0xhYUbcn4bMW42mQiL1ZowvwHRIRkfIKiYIwMjKSvn37snbtWpYuXcrvfve7Em38fj/Lli0DKJ5YJhDt27enefPmpKSksHTpUm699dYSbfLy8li7dm3QY5+2YcOG4selLXwvIiISiNbxCXRv0gK/p5DCw2l4DqZSeOQ43rQM8HrPbmwYeGIcrDqRQv+7R9G8fx/C2rci7KJmGOFh599ZeBi+/41jhNmLLwm11o2DpmcXeb7sXDyH0/D8mIL7xxRa4YDZy0j570qif3ktdX97O2HtWlbK90BERCpXSBSEAGPGjGHt2rWsXr2ab7/9lssuu+ys7fPmzeOnn34C4M477wxq7DvvvJO//vWvzJ07l4kTJ9KyZcuztr/++uvk5uZitVqLZzs9ze/3n/Mm+8zMTJ577jkAmjZtqhveRUSqmZSUFNLT04Pud+a9eRdCoiWcBgdPkLNnGYWH00oUgIYjHFvjBlgTE7AlNsDWuAHbTqTy8D+Xs2nMcGKq8HYFS2w04Z2iCe90ET8l7+flf8/gH/1GYPthH7kfLiV33jKihl9FvT89iL1lYLd0iIjIhRFSBeGrr77K9u3bufnmm3n33XcZOHAgPp+P+fPnM3bsWACGDRvGwIEDz+p75lIOBw4cKFHwTZgwgbfffptjx44xfPhwZs2aRc+ePSkoKOCdd95h4sSJAIwbN4527dqd1ff999/nk08+4fbbb6dfv34kJCQA4HK5WLZsGb///e+LC9UpU6YEPRmAiIhUnZSUFDp26IDT5Qq6b6TDQdLu3VVaFPqyc3Hv2s+lPxxgTXxv2HOUwv9tM2Iisbdsgq1pw6JLPuvGBjQLaFXz220scJ/gTy88TCciOPXq++QtXkveoq9wrvyGuo/eSZ2Hfx3YWUoREalyIVMQ2mw2FixYwIABA0hOTmbQoEFERkbi8/nIzy+6T6JHjx7Mnj076LHj4uJYtGgRQ4YMYdeuXfTq1YuYmBjy8/OLF38cPHgwL7/8com+Xq+XTz75hE8++QSAqKgoIiIiOHXqFN7/fXobHh7O1KlTue2228r78kVEpAqkp6fjdLmYNnIs7RIan7/D/+w9fpQH5s4gPT290gtCf2Fh0aWX2/dRmJwKQCzg9ftxxkeTcHFn7K2aYImPqxYF4LlEXNKJRu8+R8HuA6T/4RVcazeT+fe3yZm3jAZTf4/jiovNjigiUuuFTEEI0LJlS7Zt28aUKVP4+OOPOXDgAHa7nc6dO/PrX/+a8ePHExZWvk8ce/bsyc6dO3nhhRdYtGgRhw4dIioqii5dujBmzBjuueeeUs/uDRgwgL/97W988803JCUlkZGRUbxQZJs2bbjmmmu4//77de+giEg11i6hMd2btDA1gy/fjfuH3bg37cLv/P8JYWzNGrEtGu5a9ynThoyjeffOJqYsn7AOrWg8/xVyP15JxsTX8Ow/ROovfkv8U/dS57ejMXT1jIiIaUKqIISiNQAnT55cfAloICZNmsSkSZPO265hw4ZMnTqVqVOnBjx2ixYt+MMf/hBwexERkTP5nPnkf7sN99Y94Cm6INSIiSS8S1vCurTFWieG1C0byPQXnmek6s0wDGJuvpbIa/uQ8YdXyfnvUjKfm4FrwzYavvFHs+OJiNRaIVcQioiI1AT+Qi/uzbtwfbMVCopuT7DUr0PEpd0I69AKw1ozz5pZY6NJeO0ZIvpcTPpTU3F98S2HrrkXy8S7zI4mIlIrqSAUERG5wByHTpD9+XdFC7wD1ob1cPTtga1102p/X2Blib19OOEXtyftnol4fjpM9IR/0csWa3YsEZFap2Z+/CgiIlINGdl5vBzTngZrt+PLysWIjiRy2JXE3HE99oua1Zpi8LTwzm1osnw6EZd1w8hzMTOuM47DwS8BIiIi5aeCUERE5ALIW/410ff/nevDG+A3DCIu60bcvb8kvEvbWlcInskaF0PjeVPxXN6FCMNK/bXbce/40exYIiK1hgpCERGRKuQvLCT9mX9y7PYnsWRm82Ohk7TBPXFc1RMjzG52vGrB4gjH+ew9fJSfhuH341yyloI9B8yOJSJSK6ggFBERqSLezCyO/uoJsqbPA8D9y/7ceOoHCurpXrkSrFaeyt1H7kWJAOQtWoPnwBGTQ4mI1HwqCEVERKqAe9d+Dg8ei2vtZoxIBw1n/o38+3+BG5/Z0aq1zN7tsbdvCT4fuZ99QeGR42ZHEhGp0VQQioiIVDLX1z9w5LrfUHjwKLYWjWmy5E2ih19ldqzQYDGIGn4VtlZNwFNI7vwVeNNPmZ1KRKTGUkEoIiJSiZxffMvRkRPw57mI6NuDpstnEN7pIrNjhRTDaiX6hgFYExPwuwvI/WQlvny32bFERGokrUMoIiJSSfIWr+HY2ElQ4CHy2j40/PdfsESEmx0rJBlhdqJ/MZCc9xbiO5VD3sIvib75WgxL6Z9l79mzB0sZ28pSv359mjdvXglpRURClwpCERGRSpD72WrS7p8MXi9RNwyg4ZsTNYtoBVkiI4i66Rpy5nxOYXIqrjWbiOzf+6w2x3OzcQBjx47F5XIFNX6kw0HS7t0qCkWkVlNBKCIiUkHOrzaS9ps/g9dL9K+GkvDqkxg2vcVWBlvDekQNu5K8hV/h/n4HtoR4ws64BDfb5cIBTB50E71atQ143L3Hj/LA3Bmkp6erIBSRWk3vViIiIhXg3rqHY2P+AJ5Com68hoR/PV3mZY1SPmEdWlOYlon7u+3kLf8aa6P6WOPjzmrTsm59ujdpYVJCEZHQpYJQRESknH5au4GY1xZiyXNReHFbUu8bTuoPP5TZPikp6cKFq2Ec/S7BeyydwpSj5C36ipjbh2NYrWbHEhEJeSoIRUREgpSWk0Vdw0b85H9jsTrYVZjLqFWzyF35n4D65+bmVnHCmsewWIi6rh/ZMz/Dm5aBa91mIq/uff6OIiJyTioIRUREgpTlzOPlmPa0sDoojIogdnBfFjhuOG+/lbu389zyT8jPz78AKWseS0wUkUP6kvfZF7i/24G9ZROzI4mIhDwVhCIiIkG6aP8JWoXVxWsxiL91CA0axAfUb+/xo1WcrHTluVS1ul7eGtauBZ5u7SjYtpe8xWuxXar7BkVEKkIFoYiISBAK9iTTKjkDgJTOzagfYDFohrScLAxg9OjR5R6jOl7eGjngUgoPp+HLzKJ9UirpZgcSEQlhKghFREQC5E0/Rd6StQC87TzMJY27mZzo3LJcTvzA34fewqXtOgXVtzpf3mqE2Ym6rh85sz+n0dEs8rf9RKbZoUREQpQKQhERkQD4PYXkLlgNnkIy60byYnoyH5gdKkCt4xOCXpLBrMtbA2Vr3IDwSzrh3rSTxPdXcKpXK7MjiYiEJC2UJCIiEgDXmo34Mk5hRDrY3rUJXrMDCY4re+By2AnLzCFxT6rZcUREQpIKQhERkfPwHDiMe3PRJCtR112JJ0wX2FQHRpidpM5NAWhwMJ3CI2kmJxIRCT0qCEVERM7B58wnb/E6AMIv6Yi9VVOTE8mZTtaP5uQVnTGAvGXr8Xt17lZEJBgqCEVERMrg9/txLluH3+nCUr8Ojqt6mR1JSnHsV/3xhNnwZWQVn8kVEZHAqCAUEREpQ8HOH/H8eAisFqKGX41h16Wi1ZE32kFq+0QAXF//gC/XaXIiEZHQoYJQRESkFL48F67V3wHg6NsDW0L1XW9QIKNpPNbG9aHAg2vNRrPjiIiEDBWEIiIipXB+8S3+/AKsCfGE9+pidhw5H8MgcuDlABTs3K8JZkREAqSCUERE5GcK9h/Cs/tAUZExpC+GVW+XocDWuAFhXdoC4Fz1LX6fz+REIiLVn97hREREzuB3F+Bc8TUA4b06Y2tU3+REEgzHVT0hzI43LYOC7fvMjiMiUu2pIBQRETmDa+0m/DlOLHVicPTtYXYcCZIlylH8c3Ot34K/wGNyIhGR6k0FoYiIyP8UpmXg3rIbgMjBV2hW0RAV3qMDlrgY/Hku8jfuNDuOiEi1poJQRESE/605uGoDAPYOrbC3SDQ5kZSXYbUWXToK5H+3HV+ey+REIiLVlwpCERERoGDXT3iPHAe7jcj+vc2OIxVkb98Sa6P64Ckk/+sfzI4jIlJtqSAUEZFaz/AU4vrqewAcfbpjiYkyOZFUlGEYOP5X2Lu37sGbmWVyIhGR6kkFoYiI1HpxO5Lx57mw1I0lvGdns+NIJbE3a4T9ombg92uxehGRMqggFBGRWq211UHM7kMARF5zGYbNanIiqUyOq3qBYeDZl0Jh6nGz44iIVDsqCEVEpFZ7MrIlht+P/aJm2Fs3NTuOVDJr/TqEdWkDgGvdFpPTiIhUPyoIRUSk1rL+sI+B4fXwn3G/mdQ8EX26g8VC4cFUPClHzY4jIlKtqCAUEZFaye/z4ZjxKQC5bZtgjY8zN5BUGWtcDOHd2gGQv24Lfr/f5EQiItWHCkIREamVcuevwPrjYXJ8hWR1aWl2HKliEX26g81K4ZE0CpOPmB1HRKTaUEEoIiK1js/lJvNv0wF403UIX0SYyYmkqlmiIwm/uAMArrWbQWcJRUQAFYQiIlILZb31IYVHjuNLqMu7Lt1TVltEXNYN7Da8aRk4DqebHUdEpFpQQSgiIrWKN+MUp/45G4D8u0fgxmdyIrlQLJERRPTsBEDc9gMmpxERqR5UEIqISK1y8p+z8eXkEdalLZ7+l5gdRy6w8F5dwG4j7FQu14TFmx1HRMR0KghFRKTWKEw9TvY7HwMQ/8w4sOhtsLaxOMIJ79ERgAcdzXQvoYjUenonFBGRWiPzxf/gdxcQ0ac7kQMvMzuOmCSiV2d8VgsX22Owbd5jdhwREVOpIBQRkVqhYH8KOR8sAaDeH+/HMAyTE4lZLFEOcts0ASB8znKT04iImEsFoYiI1AqZz78DXi+Rg68g4tKuZscRk+V0bE6B34dtx35c67eYHUdExDQ2swOIiIhUhpSUFNLTS19KwLLvEDGffYHfMEj7xZUc3bwZgKSkpAsZsVYJ9nt7oX8W3shw5uWncbujMSdfnoWjb48Lun8RkepCBaGIiIS8lJQUOnbogNPlKnX79NhOXBMWzwJXGk/cekOJ7bm5uVUdsdZIy8nCAEaPHl2u/hfyZ/GW6zCjopvg+moj+Rt3EtGr8wXbt4hIdaGCUEREQl56ejpOl4tpI8fSLqHxWdvCMrJptGwjfgN633IDX8RGFm9buXs7zy3/hPz8/AsducbKcjnxA38feguXtusUcD8zfhapPjeeQb0JW/YtJ6e+S+M5/7hg+xYRqS4qXBDOmjWLX/3qV0RERFRGHhERkXJrl9CY7k1anPVczoYVFALhnS6ic8eOZ23be/zoBUxXu7SOTyjxszgXs34W7tuuJWzF9zhXfIN7217Cu7UzJYeIiFkqPKnMXXfdRZMmTXj00UfZuXNnZWQ6p5ycHCZNmkTXrl2Jjo4mLi6O3r1789JLL1FQUFChsdPS0njiiSdo3749DoeD+Ph4+vXrx9tvv42/HOsUDRs2DMMwMAyD/v37VyibiIgErzD1BIU/HQbDIKLPxWbHkWrI16QB0b8cCMDJqbNMTiMicuFVuCCMjIzk5MmT/Otf/6Jbt27069eP9957r0ou+Th48CDdunVj8uTJ7NixA7/fj9vtZuPGjUyYMIHLL7+ckydPlmvsTZs20blzZ6ZOncrevXux2Wzk5OSwbt06xo4dy9ChQ3G73QGPN3PmTJYuXVquLCIiUjlcXxfNHhnW+SKsdWNNTiPVVd1H7wDDIO/zryjYfcDsOCIiF1SFC8KjR4/yxhtv0KNHD/x+P+vXr6+Ss4Zer5frr7+e5ORkGjduzIoVK8jLy8PpdDJ37lxiYmLYsmULt99+e9BjZ2VlMWLECDIyMujQoQPff/89OTk55OXl8dprr2G321m+fDmPPfZYQOMdO3aMxx9/nDp16tDxZ5cniYjIhVF45DiFB44UnR28vLvZcaQaC2vfiqgRVwNw8mWdJRSR2qXCBWFMTAwPPPAAGzduZNOmTYwbN46YmJhSzxoGc4bt52bOnMn27dsBmD9/PoMGDSp6ARYLt912G2+99RYAS5YsYdWqVUGNPWXKFI4dO4bD4WDx4sX06tULgLCwMB566CEmT54MwPTp09m7d+95x3vwwQc5efIkL774IgkJCUFlERGRyvH/Zwfb6OygnFfdx+4EIPfTLyjYn2JyGhGRC6dSF6bv0aMH06ZNIzU1lRkzZtC7d++zzhomJiaW+6zhu+++C8CAAQPo06dPie0jR46kVatWQNFEN8E43f7MMc40fvx4oqOj8Xq9zJ49+5xjffjhh3zyySdcffXV3HvvvUHlEBGRylF4JI3C5FSwGET00dlBOb/wrm2JHNIXfD5OvfK+2XFERC6YSi0IT4uMjOTee+9lw4YNbNu2jfHjx1OnTp0SZw3nzJlDYWHhecdzOp2sX78eKJqopTSGYTB06FAAli9fHnDWPXv2kJKScs6xo6Oj6dev33nHzsjIYPz48YSHhzN9+nQMwwg4h4iIVB7X+h+A/50drBNjbhgJGXUfLzpLmPPRcjyH00xOIyJyYVRJQXimli1b0rFjR5o0aYJhGPj9/uKzhnfccQdt27blk08+OecYSUlJ+Hw+ALp06VJmu9Pbjh07RmZmZkD5duzYUaL/ucbetWtXmW0eeeQRjh8/zsSJE2nXTtNWi4iYofBwGoUHdXZQghdxSScc/S6BQi9Zb8w1O46IyAVRZQvTf/fdd0yfPp3//ve/OJ1O/H4/4eHh3Hrrrdx6660sX76c9957j4MHD3LLLbfw4YcfcvPNN5c6VmpqavHjJk2alLnPM7elpqYSHx9/3pzBjp2dnU1ubi7R0dFnbV+4cCFz5syhS5cu/P73vz/vfsvidrvPutcyOzsbAI/Hg8fjKfe4leH0/s3OIaFDx4wEq7zHjM/nw+Fw4LdacK4punfQ3rUt/rqxnOs6FMNmw+FwgM1KoSXwqzpqer9QymrYrEUPguznt1pwOBz4fL6zjreYh36Na+1mst9bSPQjo7DWqxPwmBIa9N4kwapOx0xVZDD85VlgrwzZ2dm89957zJgxo3gCGL/fT5s2bbj//vu5++67zyrScnJyeOSRR3j33Xe55JJL2LhxY6njzpkzp3j20H379tGmTZtS261YsYLBgwcD8PXXX5d6r+HPPffcczzzzDNA0TfYZiu9Rp4xYwbjxo0DiorIxo0bF2/Lysqic+fOHD16lPXr13P55ZcXb+vfvz9fffUVV199NV9++eV580yaNKl4EpszzZkzh8jIyPP2FxGpzSL3Hqb1P+bit1rY+9y9eOrFmR1JQo3fT+u/vU9kchrHR1zO8ZuuNDuRiEgxp9PJqFGjyMrKIja2ciZMq5QzhF9//TUzZsxg3rx5uFwu/H4/NpuNG264gQceeKB4RtCfi4mJ4a233uLDDz8kKSmpMqKY4oknnuDIkSM8/PDDZxWD5fH000/z+OOPF/87OzubZs2aMXjw4Er7oZeXx+NhxYoVXHvttdjtdlOzSGjQMSPBKu8xs3XrVq666iq+b130fhPWpS29Mr1wntsHPt36PY/On8m7t97H1V17BLy/mt4vlLJ+tnMzCTcNomDBl1zdsVvA/XakpjBi2gusWbOG7t3PvrTYacSQft8kGq7dwSUvPYMlJirgcaX603uTBKs6HTOnrx6sTBUuCLt27Vp8X53f76dZs2bcd9993HfffWedRStLWFgYDRo04NChQ2W2iYn5/wkBnE5nme3O3HZmn3P5+dhlFV1ljb1y5UreeecdmjZtynPPPRfQPs8lPDyc8PDwEs/b7XbTD8DTqlMWCQ06ZiRYwR4zFouFrh47EWknwWIh8vJuWHznvwDGX1iIy+WCQi+2ANrXln6hlNVf6C16EGQ/w+vD5XJhsVhKHGux1w8gq+1/8Ow7iHPOYuo+PCrgcSV06L1JglUdjpmq2H+FC8KdO3diGAZDhgzhgQceYMSIEVgswc1V89hjj3Hq1KkytycmJhY/PnLkCN26lf4J4JEjR0rtcy4/H7usgvD02LGxsWfdPzh27FgA/vGPf2AYBrm5uWf183q9xf89vc3hcGC1WgPKJyIigfltVAsAwrq2xRIbfZ7WImUzLBbqjB/FiUeeJ+vN/xJ3381YIkp+WCsiUhNUeJbRJ598kv3797N48WJuuOGGoItBgN/+9rf86U9/KnN7x44di8c9c1bQnzu9rVGjRgFNKANnzywayNidOnU66/nk5GQARo0aRUxMTImvdevWAbBu3bri5xYuXBhQNhERCYx16z4us8fhtxg4Lg/8skGRssTcfC22Jgl4j2eS89+lZscREakyFS4In3/+eVq2bFkJUcoWGRlJ3759AVi6tPRfyn6/n2XLlgEUTywTiPbt29O8efNzjp2Xl8fatWuDHltERKqe3+8n4r0lAORelKizg1IpjDA7cQ/+GoBTr83BH8C6ySIioajCBWHr1q2DmkilX79+XHTRRUHvZ8yYMQCsXr2ab7/9tsT2efPm8dNPPwFw5513BjX26fZz584tPuN3ptdff53c3FysVmvxbKennV5Xsayvq6++GoCrr766+LmbbropqHwiIlI217rN2Lbvp8DvI7tzC7PjSA0SO3oElnpxFCankrvgS7PjiIhUiQoXhMnJyaSkpATc/vDhw6UWXeczZswYunbtit/v5+abb2bVqlVA0dpT8+bNK76Xb9iwYQwcOPCsvpMmTcIwDAzDKHXfEyZMoFGjRjidToYPH86mTZsAKCgo4M0332TixIkAjBs3TgvOi4hUI36/n5Mv/BuA/+YfwxsZYXIiqUkskRHEjb0FgFP/fJ9KXKlLRKTaqHBBGKzCwsJy3Wdos9lYsGABLVu25MiRIwwaNIioqCiioqL41a9+RXZ2Nj169GD27NlBjx0XF8eiRYuoV68eu3btolevXsWTxzz44IMUFBQwePBgXn755aDHFhGRquNas4n8b7fht9uY5jpsdhypgeLuvRkjykHBzv04V3xjdhwRkUp3QQtCl8vF8ePHA14S4udatmzJtm3bePbZZ+nSpQuGYWC32+nZsydTpkxhw4YN1K1bt1xj9+zZk507d/LYY4/Rtm1bPB4PUVFRXHnllcyYMYMlS5aUuhyEiIiYo+js4DsAFFx3BWm+ApMTSU1krRND7F03AnDq1fdNTiMiUvmCXnYiJSWlxGWXBQUFrF27tsxLKfx+P6dOnWL27Nl4PB66du1arrBQtAbg5MmTmTx5csB9Jk2axKRJk87brmHDhkydOpWpU6eWO9/Pffnll5U2loiI/D/XVxvJ/34HRkQY7tsGwTsVXwtWpDR1HriNrBnzyf9uO65vtuLo0/38nUREQkTQBeF//vMf/vznP5/13MmTJ+nfv/95+/r9fgzD4P777w92tyIiIsX8fj+Z/yi6dzD2zhs5VS/O5ERSk9ka1Sd25DCyZy3g1KvvqyAUkRqlXJeMnjmLpmEY551pE4oWdO/bty+zZs1i1KhRlfoiRESkdnGt/g73/84O1hmv9xSpenUeHgUWC85VG3Bv32d2HBGRShP0GcI//elPZy0ib7FYaNSoEampqZUaTEREpDRnnR0ccyO2RvUhNfDZrkXOlJSUFHBbx1UXE/blZo78fTqtZ79YhalERC6coAvCn7vzzjupU6dOJUQRERE5P+eqb3Fv2oXhCKfO+NvP30GkFGk5WRjA6NGjA+7TwRrForo9KFz2DQfXf0eLvpdWXUARkQukwgXhzJkzKyGGiIjI+fn9fk6ePjt4103YGtYzOZGEqiyXEz/w96G3cGm7TgH3S1/2LfUz8nC+9RGoIBSRGqDCBaGIiMiF4lzxDe4tSUVnBx/WvYNSca3jE+jepEXA7Xf3OAUrN2Nf+R2Fx9KLLlkWEQlhQRWEs2bNAooWcr/xxhvPei5Yd955Z7n6iYhI7eT3+8n837qDsff8AltCvMmJpDZyJ9The08WvYnj1Jv/pf7kh8yOJCJSIUEVhHfddReGYdC+ffvigvD0c8EwDEMFoYiIBCVv8VoKtu3FiHRQV2cHxUTTnIfpHRdH9szPqPvoHVjrxpodSUSk3IIqCJs3b45hGCQmJpZ4TkREpKr4fT5O/u/sYNz9t2KtX9fkRFKbfeU5ibd1E6w/HSHr3x8T/8RdZkcSESm3oArC5OTkgJ4TERGpTLmffUFB0k9YYqOp8+BIs+OI4L5tEJHPv0vW9I+o88BtWKIcZkcSESmXci1MLyIicqH4Cws5+ULRzKJxD96GtU6MyYlEwNOvO7aWTfBlZpH9/iKz44iIlJsKQhERqdZy5i3Hs/8Qlvg46oy71ew4IkWsVuqOL7qX9dQbc/EXeEwOJCJSPioIRUSk2vIXeDj50kwA6owfhSUmytxAImeIuW0o1ob18KYeJ+ej5WbHEREpl3ItO1EZNMuoiIicT/YHiyk8eBRrg3ji7vml2XFEzmKEh1HnN7eRMekNTv1rDjG3DcWwWs2OJSISlHItO1FRWnZCRETOx5fv5uRL7wJQ97E7sERGmJxIpKTYMTdy8pX38PyYQt7itURf39/sSCIiQSnXshMiIiJVLfvdBXiPnsCamEDMHdebHUekVJboSOLu/SUnX3qXU6++T9SIq/W3koiElAovOyEiIlLZfE4Xp159H4D4J8ZgiQg3OZFI2eLG3sKpN/+Le+seXF9tJLJ/b7MjiYgETJPKiIhItZP7n8/wnsjE1jKRmF9fZ3YckXOy1qtD7Oiis9gn//dBhohIqFBBKCIi1YrF5Sb7jbkAxE+4G8Me1MUsIqao8+BtYLeRv24z+Zt2mh1HRCRgKghFRKRaqbdyE76T2djbtiD6lmvNjiMSEFuThsTcMhjQWUIRCS3lWnYiLi6OG2+88azngqVZRkVE5Oe86Sepv/R7AOJ/d7em8JdqKykpqcRzloEXEz13Cc4l6/jh48/xtWx81vb69evTvHnzCxVRRCQg5Vp2on379sUFYXmWotCyEyIiUpqsl9/D6vYQ1q0dUTcOMDuOSAlpOVkYwOjRo0vd/lpMB4aG12flmMf5Xe7es7ZFOhwk7d6tolBEqpVyLTuRmJhY4jkREZGK8Px0mNz3FgJQZ+L9GBbd1SDVT5bLiR/4+9BbuLRdpxLb7ZnZsHQjNzkacumvbsQb7QBg7/GjPDB3Bunp6SoIRaRaqfCyE1qKQkREKkPGczOg0EtOl1Y079vD7Dgi59Q6PoHuTVqU3NAEcpJSKTyYSqvkDKKG9L3w4UREgqCPX0VExHT5W5LI++wLMAyO3XyV2XFEKsRxxcUAFOzYhzcrx9wwIiLnoYJQRERM5ff7yZj8JgBRtw7G3ayByYlEKsbWtCG2Fong85O/YZvZcUREzqnSF3fKyclh8+bNHD9+HICEhAR69OhBbGxsZe9KRERqAOfKDeSv34IRHkbchLtg2yazI4lUmKPvxeQcTKVg+z4iLutmdhwRkTJVWkH4ww8/MHHiRJYuXYrP5ztrm8ViYejQofz5z3+mRw/dFyIiIkX8Xi+Zf5kGQNzYm7E1bQjbYOvWrViCmFSmtCUARMxka9IQW8smFCYfIf+brdCtmdmRRERKVSkF4X/+8x8eeOABCgsL8fv9JbZ7vV4+//xzli1bxrRp07jnnnsqY7ciIhLicv67lIKkn7DUiaHOb+8g5fBhAK666ipcLlfQ4+Xm5lZ2RJFyc/TtQU7yEQp2/oitVT2z44iIlKrCBeF3333H2LFj8fl8tG3blt/97ndcc801NGnSBMMwOHz4MF988QVTp05l9+7djBs3ji5dunDppZdWRn4REQlRPpebzBf+DUDdR+/AWieGjB/3APDKzXfRNj7wewlX7t7Oc8s/IT8/v0qyipSHLbEBttZNKfzpMLE7ks2OIyJSqgoXhM8//zw+n4/+/fuzePFiIiIiztreunVrWrduzR133MF1113H6tWref755/nkk08qumsREQlhWTM+wpt6HFvThsTe+8uztrVp0JDujQK/xG7v8aOVHU+kUjiuuJicnw4TlXyMlpaI83cQEbnAKjzL6Lp16zAMgzfffLNEMXim8PBwXn/99eI+IiJSe3kzszj16vsAxD99H5aIcJMTiVQNW+MG2C9qhuGH8ZFakF5Eqp8KF4R5eXnExsbSvn3787bt0KEDcXFxOJ3Oiu5WRERC2MlX3sOXnUtY5zZE3zLY7DgiVSqi78UAjAhvgCXlmLlhRER+psIFYfPmzcnPzy8xs2hpvF4v+fn5NGummbZERGqrgv2HyHp7PgD1nn0AI4jZREVCka1hfZxN62M1DMJnLzM7jojIWSr8LvyLX/yCgoICPv300/O2/fTTT3G73dx8880V3a2IiISojElvgKeQyIGXE3nNZWbHEbkgsrq2AsD+1RYKdh8wOY2IyP+rcEH4zDPP0LZtW8aNG8eXX35ZZrs1a9Zw//3306FDB55++umK7lZEREKQ86uNOJeuA5uVen952Ow4IheMp24MS93pGH4/mVNmmh1HRKRYULOMzpo1q9TnH3jgASZPnszAgQPp27dviWUnVq9ezbp164iLi+P+++/n448/5s4776yUFyAiIqHBX1hI+h//CUDcPb8krG0LkxOJXFj/dKYwNLw+eZ99gfvxOwnvdJHZkUREgisI77rrLgzDKHO73+9n/fr1rF+/vtRtWVlZPP744xiGoYJQRCREpKSkkJ6eHnS/+vXr07z5/8+qmD1rIZ7dB7DEx1H3d3dXZkSRkLDX66Sg38WErf2BzL+/TeNZz5sdSUQkuIKwefPm5ywIRUSkZklJSaFjhw44Xa6g+0Y6HCTt3k3z5s3xnsoh84V3AIh/8l6sdWIqO6pISHDfeR1h67fhXLKO/O+2E3FpV7MjiUgtF1RBmJycXEUxRESkOkpPT8fpcjFt5FjaJTQOuN/e40d5YO4M0tPTad68OSdf/A++zCzCOrYm9s7rqzCxSPXma96QmF8PI2f252T85S0SF/xLH7aLiKmCKghFRKR2apfQmO5NynfPX8G+g2T9+2MA6v35YQyb3nqkdov//T3kzl9B/oatOFduIOraPmZHEpFaTIs/iYhIlcp49jUo9BI5pC+R/XubHUfEdLbEBOLuK1qCK/Nvb+EPYC1nEZGqooJQRESqjO37JJwrN4DdRr3JD5kdR6TaqPPIaCyx0RTs3E/u/BVmxxGRWqxSr9v5+uuvWbduHYcPHyYvLw+/319qO8MweOeddypz1yIiUs3YMIh46xMA4sbeQthFzUxOJFJ9WOvGUmf8KDL/Np3Mv79D9A0DMMLDzI4lIrVQpRSE+/btY9SoUWzevPms5/1+f4kbpU8/p4JQRKRmGxXRCOuhNCz161D3iTFmxxGpduLG3UrW2/MpTDlK1r8/ps5vRpodSURqoQpfMpqRkcE111zDpk2bSEhI4NZbb8Xv9xMREcHo0aMZOHAg0dHR+P1+6tWrx5gxY7QGoYhIDWfJL+C3kUWT0NR7eizW2GiTE4lUP5bICOKfHgvAyZfexZuZZXIiEamNKlwQvvLKKxw5coTLLruM/fv3M3fuXADi4uKYNWsWy5cvJzU1ld/97nekp6fjcDj4z3/+U+HgIiJSfdXZup84iw1vm6bE3D7c7Dgi1VbMyKGEdb4IX1YuJ6e+a3YcEamFKlwQfv755xiGwXPPPUdkZGSpbaKionjhhRf47W9/y1tvvcW8efMqulsREammCo+eIHr/UQBcD96CYbWanEik+jKsVupNKppwKevfn+D56bDJiUSktqlwQbh//34Mw6Bfv35nPV9QUFCi7VNPPQXA9OnTK7pbERGphvx+f9GsosD8/DS8nVuZnEik+ovs3xvHNZeBp5CMv0wzO46I1DIVLgg9Hg9xcXHYzlhoODIykpycnBJtGzZsSFxcHNu2bavobkVEpBoq2L4P77F0fHYrL+Ylmx1HJGTUm/QgWCzkLfoK1wb9nSQiF06FC8LExESysrIoLCwsfq5hw4YUFhby008/ndXW4/GQnZ1NVpZumhYRqWl8LjeuNRsByOramnS/x+REIqEjvGPr4vttM/74Ty1WLyIXTIULwlatWuH3+zl06FDxc7179wbg/fffP6vtzJkz8fl8NGnSpKK7FRGRaiZ//Wb8LjeW+nXIaaff8yLBin/qPiwxUbi37iFnzmKz44hILVHhgnDw4MEALF26tPi5O+64A7/fz1//+lceeughZsyYwcMPP8zDDz+MYRjcdNNN5d5fTk4OkyZNomvXrkRHRxMXF0fv3r156aWXSr1vMRhpaWk88cQTtG/fHofDQXx8PP369ePtt9/G7/eX2W/hwoVMmDCBAQMGcNFFFxEbG0tYWBiJiYkMGzaM//znP2edQRURqWkK0zJw/7AHgMiBl4Olwm8vIrWOLSGeuhPuAiDzuel4s3PNDSQitUKFF6a/8cYbef3111m7di2/+c1vABg+fDgjR45k7ty5TJv2/zdH+/1+OnbsyLPPPluufR08eJD+/fuTnJwMFN2r6Ha72bhxIxs3bmT27NmsWrWKunXrBj32pk2bGDJkCBkZGQBER0eTk5PDunXrWLduHfPmzWPBggWEh4eX6Pv000+zc+fO4n/HxMRgtVo5evQoR48eZenSpbz22mssXryYhg0bluu1i4hUV36/H+eqDeD3Y+/QCnvzxnDkoNmxREJS3H03k/3eQjw/pnByykzq//lhsyOJSA1X4Y9w27VrR3JyMnPmzDnr+dmzZ/PWW28xYMAA2rRpQ8+ePfnjH//I119/TVxcXND78Xq9XH/99SQnJ9O4cWNWrFhBXl4eTqeTuXPnEhMTw5YtW7j99tuDHjsrK4sRI0aQkZFBhw4d+P7778nJySEvL4/XXnsNu93O8uXLeeyxx0rtf8sttzB9+nR27tyJ0+kkOzsbl8vFkSNHmDx5MhaLhc2bNzNmzJigs4mIVHcFu/bjPXIc7DYi+/c2O45ISDPC7NT7y3gAsmZ8RME+fbgiIlWrwmcIy2IYBmPHjmXs2LGVMt7MmTPZvn07APPnz6dPnz4AWCwWbrvtNnw+H6NGjWLJkiWsWrWKgQMHBjz2lClTOHbsGA6Hg8WLF9OqVdE06WFhYTz00ENkZ2fzhz/8genTp/Poo4/Srl27s/pPmjSp1HETExN59tlnyc/P5/nnn2fZsmUcPnyYpk2bluM7ICJS/fjdBbi+LJpIxtGnO5aYKJMTiVRvSUlJ528UH0bkpZ2wf7eLnx75G45pz9CiRYuqDycitVLI3OTx7rvvAjBgwIDiYvBMI0eOLC7kZs2aFdTYp9ufOcaZxo8fT3R0NF6vl9mzZwcbncsvv7z48ZEjR4LuLyJSXbm+/gG/04WlbizhPTubHUek2krLycIARo8eTc+ePc/7NXTpLAr8Puwbk3iwy+WkpKSY/RJEpIaqkjOEBw8e5Pjx4wAkJCRU+FMtp9PJ+vXrARg2bFipbQzDYOjQobz55pssX7484LH37NlT/Eu2rLGjo6Pp168fS5YsYfny5UyePDmo/GvXri1+3Lp166D6iohUV970U7g37wIg8prLMGxWkxOJVF9ZLid+4O9Db+HSdp0C6uP6YT9huw7ypL0p6YeP0Lx586oNKSK1UqUVhKmpqTz//PP897//LZ6Y5bT4+HhGjhzJk08+Wa7LJZOSkvD9bz2eLl26lNnu9LZjx46RmZlJfHz8ecfesWNHif5ljb1kyRJ27doVUObc3FySk5OZNWsWL730EgB33nknDRo0CKi/iEh1VjyRjM+PvU1z7K11KbxIIFrHJ9C9SWAflPsTmpB+cB5N8iB/znK4ouQVUiIiFVUpBeHy5cu57bbbyM7OLnV5hoyMDN544w3ee+895s6dy9ChQ4MaPzU1tfjxudYwPHNbampqQAVhsGNnZ2eTm5tLdHR0iTYbNmwo9XJWq9XKmDFjeO21186bx+1243a7i/+dnZ0NgMfjweMxd5Hn0/s3O4eEDh0zoc/n8+FwOPBbLRRajOLnPbuTKUw5ClYrYQMvO2sbgN9qweFw4PP5gvr5n/7w7+f7Ox/DZsPhcIDNqn6V0C+Ushafma72OcvRL9xOZu/2JHy5lfCPvsD5m1HY27UMeJ9SOr03SbCq0zFTFRkM/7kW2AvAnj176NGjB/n5+cTHx/PAAw9wzTXXFBdQR44cYfXq1bz11lukp6cTERHBli1baN++fcD7mDNnTvHsofv27aNNmzaltluxYkXxuohff/11qcXZzz333HM888wzQNE32GYrvUaeMWMG48aNA4qKyMaNG5dos3nzZq677joAMjMzi39gDz74IE8++WRAl3pMmjSp1EtS58yZQ2Rk5Hn7i4hUNcNdQNuJ/yEsM4fj1/fh+I19zY4kUqM1f+0TYn/YT277ZiRP+BUYwRX3IlJzOJ1ORo0aRVZWFrGxsZUyZoXPEP7lL38hPz+fbt26sWLFihKXRLZv355rrrmG3/72twwaNIjt27fz17/+lffee6+iu652LrnkEo4dOwYUfcr9008/8fLLLzNt2jRmzZrF7NmzueGGG845xtNPP83jjz9e/O/s7GyaNWvG4MGDK+2HXl4ej4cVK1Zw7bXXYrfbTc0ioUHHTOjbunUrV111FYseeJIuiUUfarnXbKIgMwcjNprWbdty0b7MEv12pKYwYtoLrFmzhu7duwe8vy1btnD06FGi122ja8PAL0P9dOv3PDp/Ju/eeh9Xd+2hfhXsF0pZP9u5mYSbBlGw4Euu7tit2uYsb78dqSnc+vWnLK17CdF7DnF1fhhRN18bcH8pSe9NEqzqdMycvnqwMlW4IFy1ahWGYfD222+f8/64+vXrM2PGDC677DJWrlwZ1D5iYmKKHzudzjLbnbntzD7BjF1W0RXs2BaLhTZt2vD6669z0UUX8cQTT3D77bezd+/eUs8unhYeHk54eHiJ5+12u+kH4GnVKYuEBh0zoctiseByuTC8Pmw+P96T2RR8V7QEUOSAS7FbreAreaGJ4fXhcrmwWCxB/ewtFktxf1sp45bFX1iIy+WCQq/6VUK/UMrqL/QWPaj2OcvXz/D62O/Mwv3QECL+s4iTk94g5torsNarE/AYUjq9N0mwqsMxUxX7r/CyE6dOnSI6OppevXqdt23v3r2Jjo7m1KlTQe0jMTGx+PG5lm04c9uZfSpz7NjY2FLvHzyXBx98kPDwcHJzc/nggw+C6isiUp24Vn8HXh+2FonY22rGQ5ELxX3zAMI6tsaXkUX6s6+bHUdEapAKF4SNGzfG6/UG3N7n853zDFlpOnbsWPyp8Zmzgv7c6W2NGjUKaEIZOHtm0UDG7tQpsKmizxQREVGc58cffwy6v4hIdeDZfwjP/kNgMYgceBmG7mMSuXDsNhq8/HswDHI/XIpz9XdmJxKRGqLCBeF1112Hy+Xiiy++OG/bVatW4XQ6GTFiRFD7iIyMpG/fokkLli5dWmobv9/PsmXLAIonlglE+/btiyd7KWvsvLy84rUEgxn7tJycHE6cOAEEfimriEi14vXi/OJbAMJ7dtblaiImiOjZmbixtwBwYsIUfHkukxOJSE1Q4YJw4sSJJCQkcO+997J3794y2+3bt4+xY8fSuHFj/vjHPwa9nzFjxgCwevVqvv322xLb582bx08//QQUrfcXjNPt586dS3Jycontr7/+Orm5uVit1uLZTk8rLCw87/gvvvhicbv+/fsHlU1EpDqI3X0I36kcjCgHjj6BTxKTlJTE5s2bA/7as2dPFb4KkdAX//R92Jo2pDDlKJkvvGN2HBGpAYKaVGbNmjWlPv/888/z2GOP0b17d2699dbiZScMw+Dw4cOsXr2aefPmERERwdSpU9m9ezcJCQlBBR0zZgyvvvoq27dv5+abb+bdd99l4MCB+Hw+5s+fz9ixYwEYNmwYAwcOPKvvmUs5HDhwgJYtW561fcKECbz99tscO3aM4cOHM2vWLHr27ElBQQHvvPMOEydOBGDcuHG0a9furL6zZ89m/vz53HXXXVx55ZXFr8vn87Fjxw5ee+01ZsyYAUDfvn2DXoNRRMRsjS1hxO5IBsDRvzdGeNh5+6TlZGEAo0ePDmpfDoeDDz74gNy8vHIkFan5LNGR1H9xAsd+/Tuy3ppH9I0DiOjZ2exYIhLCgioI+/fvf957RmbPns3s2bNL3eZ2u7n33nsxDCOgM2tnstlsLFiwgAEDBpCcnMygQYOIjIzE5/ORn58PQI8ePcrc97nExcWxaNEihgwZwq5du+jVqxcxMTHk5+cXryU4ePBgXn755RJ9/X4/CxcuZOHChQBERUXhcDjIzs6moKCguN0111zDvHnzdM+NiIScp6JaYfH6sDVpSFjH1gH1yXI58QN/H3oLl7YL/N7rL/bvBsD9v9/rIlJS1KDLib7lWnI/WsHx8c/T9It3sESUnKFcRCQQQS87UcF17Cs0RsuWLdm2bRtTpkzh448/5sCBA9jtdjp37syvf/1rxo8fT1jY+T+5Lk3Pnj3ZuXMnL7zwAosWLeLQoUNERUXRpUsXxowZwz333FM8sc2Zhg8fzvTp0/nyyy/ZunUraWlpnDx5EofDQevWrenduzcjR44sXrBeRCSUWH/Yx/DwBvgNcJRjIpnW8Ql0b9Ii4Pb7Mk8EG1GkVqr/3KO41mzCs+8gJ194h3p/etDsSCISooIqCH0+X1XlCFhMTAyTJ08uvgQ0EJMmTWLSpEnnbdewYUOmTp3K1KlTAx67QYMGjB07tviSVRGRmsLvKcTxxkcA5LZpQnzDeiYnEpHTrHVjaTD19xwb/RSnXp9L1LB+RFza1exYIhKCKjypjIiI1ExZ73yM9eAxMn0esroFdqmoiFw4UUP6Ev2roeD3c/yR5/G53GZHEpEQpIJQRERKKDyeycl//BuAl/KS8YXbTU4kIqWp/7dHsDaqj2f/ITL/9pbZcUQkBFV6QZiTk8NXX33FvHnz+Oijj/jqq6/Iycmp7N2IiEgVyvzLNHw5eRS2bcY8d5rZcUSkDNY6MTR4+UkAst6ah3PNRpMTiUioqbSCcPv27dxwww3Ex8dzzTXXMHLkSG677TauueYa4uPjuemmm9i+fXtl7U5ERKpI/sad5MxdUvT4oVsw/+5xETmXqEGXE3v3TQAcf/g5vCezzQ0kIiGlUgrCjz/+mMsuu4zPP/8cr9eL3+8/68vr9bJw4UIuvfRSPvnkk8rYpYiIVAG/z0f6M68CEDNyGN6OLc0NJCIBqTfpIextmuM9eoITT7xYKbPCi0jtEPSyEz934MABbr/9dtxuNy1btuT3v/891157LU2bNsUwDA4dOsSKFSt48cUXi9vu3LmTVq1aVUZ+EREJUEpKCunp6edsY/9iI5Gbk/A7wjly4xUkJSVdoHQiUhGWyAgaTnuWw0PvJ2/hl+R+uIyTfTqd9//50tSvX5/mzZtXfkgRqZYqXBC++OKLuN1u+vTpw7Jly4iOjj5r+0UXXcRFF13EHXfcweDBg9mwYQMvvfQSr732WkV3LSIiAUpJSaFjhw44Xa4y20RgYUXdnkRaw5mavoc3rx1QvC03N/dCxBSRCgjv3p74J+8l82/TOf7kSww78T37nFlBjxPpcJC0e7eKQpFaosIF4cqVKzEMg2nTppUoBs8UFRXFtGnT6N69O8uXL6/obkVEJAjp6ek4XS6mjRxLu4TGpbaJ3X6AOtsPUBgVwa9+NYZbbVZW7t7Oc8s/IT8//wInFpHyqDN+FM5V35K/YSsv2Fty4le9adsoMeD+e48f5YG5M0hPT1dBKFJLVLggPHz4MDExMXTtev7FULt27UpsbCyHDx+u6G5FRKQc2iU0pnuTFiWe9+XkkbV7DQBx11xGgxZF6w7uPX70guYTkYoxrFYS3pxIcr876ZYL2al5tOhZ8v95EZHTKjypjN1ux+PxBNTW7/dTUFCA3a71rEREqhPX2s3gKcSamIC9ve7xFgll9qYNcU0YBUDs7kN49h8yOZGIVGcVLgjbtGlDfn4+y5YtO2/bZcuWkZ+fT5s2bSq6WxERqSSFx9Ip2PkjAJHXXIphGCYnEpGKKuzTlZmuVADylqzFl5NnciIRqa4qXBDeeOON+P1+xo4de87Z6Hbt2sW4ceMwDIObbrqporsVEZFK4Pf7cX3xHQBhnS7C1riByYlEpLL8I+8ABXVj8Lvc5C36Cr9Pq4qKSEkVvofw0UcfZcaMGRw+fJgePXpw6623MnDgQJo0aVK87MSqVav46KOPKCgooGnTpjz66KOVEF1ERCrKs/cghUfSwGbFcVVPs+OISCUqwE/6lZ1JXLaJwsNpuNZsIrJ/b7NjiUg1U+GCMDY2lqVLl3L99deTnJzMnDlzmDNnTol2fr+fVq1asWDBAmJiYiq6WxERqSB/YSGur74HIKJ3VywxUSYnEpHKVhgTSdSwK8n7bDXu73dgS2xAWLuWZscSkWqkwpeMAnTu3Jlt27bx/PPPc/HFF2OxWPD7/fj9fiwWCxdffDEvvPACW7dupXPnzpWxSxERqSD3piR8WbkY0ZFEXNrF7DgiUkXC2rUkvHfR/+N5S9bhzQx+bUIRqbkqfIbwtOjoaJ588kmefPJJPB4PmZmZAMTHx2tWURGRasaX58K1YSsAjn49McL0e1qkJnNc1RPv0RMUHk4j97MviL19hP6/FxGgEs4QtmrViosuuogff/yx+Dm73U7Dhg1p2LChikERkWrItX4LFHiwNqpPWOeLzI4jIlXMsFiIur4/RpQDX/op8pauw+/3mx1LRKqBCheER48e5cSJE1pKQkQkRHgzsyjYthcAR//eWmZCpJawREcSfcMAsFjw7Ekm/9vtZkcSkWqgwgVhYmKiPmESEQkhrrWbwe/HflEz7M0amR1HRC4gW9OGRA66HID8tZu0aL2IVLwgHDRoEE6nky1btlRGHhERqUJh6Vl49iYDRfcOikjtE969PWHd2wOQu+grvBmnzA0kIqaqcEH41FNPERUVxcMPP4zT6ayMTCIiUkXq/LAfgLAubbA2qGtyGhExS+TAy7A1bQgFHnI/WYXP5TY7koiYpMKzjNpsNt566y3uv/9+unTpwvjx47niiitISEjAarWW2a958+YV3bWIiAThKntdIo6fAqsVR98eZscRERMZVitRNwwg5/2F+E5mk/fZF0TfOtjsWCJiggoXhK1atSp+nJeXx4QJE87bxzAMCgsLK7prEREJlNfH76NaAhB+SUcssdHm5hER01miHET/8lqy53xO4aFjOJd9Dd2amR1LRC6wCheE5ZlQRpPQiIhcWPbVm+hgi8JntxFxWTez44hIkJKSkqqkvbVBXaJvGEDu/BUU7PyRWJuvPPFEJIRVuCA8cOBAZeQQEZEq4st3E/Hu5wBkdW5BPUe4yYlEJFBpOVkYwOjRo8vVPzc397xt7K2aEDnwcpwrv6HO1p8YEVa/XPsSkdBUoYLQ5/ORl5dHdnY28fHxtGvXrrJyiYhIJcme+SmW4yc55nXjadfU7DgiEoQslxM/8Peht3Bpu04B91u5ezvPLf+E/Pz8gNqH9+iA92Q27k07+UdMOwq27IFLLilnahEJJeUqCD0eD3/84x956623yMnJKX4+Pj6eRx99lD/84Q9a6FhEpBrwZudycuosAF51pvAbW9mTfYlI9dU6PoHuTVoE3H7v8aNB78MxoDeZJ04QlXIc+5/fwd27J+Hd9GG/SE1XrmUnbrrpJqZMmUJ2djZ+v7/4KyMjg2effZa77767snOKiEg5nPrXHHwns/E2b8jH7jSz44hINWYYBhl9OvFNwSkMp5ujI3+H52Cq2bFEpIoFXRDOmzePJUuW4Pf7adOmDU8//TSvv/46v/vd70hMTMTv9/Pee+/x1VdfVUVeEREJUOGxdLLe+hCA/Luvx2tyHhEJAVYLv8lJwtu6Cd4TmRy99QkK0zLMTiUiVSjogvD9998HYPDgwWzfvp2//e1v/OY3v+GFF15g165dXPK/681nz55duUlFRCQoJ6fMxO9yE9G7C4V9upgdR0RCRK7fS95f78fWvDGeA4c5euvjeDOzzI4lIlUk6HsIN2/ejGEYvPzyy4SHnz1TXWxsLC+88ALXXnstW7ZsqbSQIiISHE9yKtmzFwEQP/EB0gydHxSRwO06nkrnyfcRNeGfFCT9xI8jfkPeCw9BlKPMPvXr16d58+bl2l9KSgrp6elB96vIPkWkSNAFYXp6OhEREXTs2LHU7b169SpuJyIi5jj50kwo9OLo3xtHn+6webPZkUQkBPx8mYuLrA4+iOtG/L5D7L3+N9yTtRMXpa9VGOlwkLR7d9AFWkpKCh07dMDpcgWdt7z7FJH/F3RB6Ha7adSoUZnb4+LiituJiMiFV7D/EDkfLgMg/un7TE4jIqGktGUu3Cdz8K3cQm/i+L7TdZzo3x3/z2Ys3nv8KA/MnUF6enrQxVl6ejpOl4tpI8fSLqFxwP0qsk8R+X8VXpheRESql5NT/gM+H5GDryDiksDXLRMROe2sZS6aQGF8AjnzlhNx/BStvt5N9M3XYoTZK3Wf7RIaB7W0hohUjnItOyEiItVTwZ4D5M5fCUD87+8xOY2I1BS2xARibh0MYXYKD6eR89Fy/AUes2OJSCUoV0GYlpaG1Wot88swjHO2sdl0YlJEpCpk/uM/4PcTNfwqwru3NzuOiNQgtsQEYn41BCM8DO+R4+TMW4YvX7cIiYS6chWEZy5GX94vERGpXO4dP5K3YDUAdXV2UESqgK1xA6J/NQQjIgxv6gly5y7Bl+s0O5aIVEDQp+r+9Kc/VUUOERGpoJMv/huAqBuvIbzTRSanEZGaytaoPtG3DSN33nK8J06S88FirFdprVORUKWCUESkBnBv3UPe4rVgsRD/+7vNjiMiNZwtIZ6YUdeRO28ZvlM5NFyxibbWSLNjiUg5aFIZEZEaIPPvbwMQffMgwtq1NDeMiNQK1rqxxIwajqV+HWyuAj6M64Z1yx6zY4lIkFQQioiEuPzvd+BcuQGsVuo+cZfZcUSkFrFERxIz8jryG8QRY7ER9cw0cv671OxYIhIETfcpIhJiUlJSSE9PL/535DOvYwcKBvZiR9YJ2HyiRJ+kpKQLmFBEahOLI5zj11zMtlkfMSK8Accf/huelKPUnXAXhmGYHU9EzkMFoYhICElJSaFjhw44XS4Aetti+aBONzx+H4PnvsbhOS+ds39ubu6FiCkitY3VymM5exh0x0giPlzFyX/8m4Kkn0j459NYonVvoUh1poJQRCSEpKen43S5mDZyLO0SGpOwcjMcP0V+26bMunRQmf1W7t7Oc8s/IT8//wKmFZHaxA+4772BZpf35MSTU8lb+CVHfkyh0bvPYW/VxOx4IlIGFYQiIiGoXUJjOvsjyDl+CiwWmg7sS/PY6DLb7z1+9MKFE5FaLfaO6wlr35Jjd/+RgqSfODx4LA2nTyJywKVmRxORUmhSGRGREOX6ZisAYV3aYDlHMSgicqFFXNqVpqveIbxnJ3yncjg68necfG0Ofr/f7Ggi8jMqCEVEQlBYejaFyUfAMIi4rJvZcURESrA1qk+Tz/5FzKjh4POROflNjt8/GV+ey+xoInIGFYQiIiEodmcyAGGdWmOtE2NuGBGRMhjhYTR45Unqv/A42KzkfrKKI8MfxHPgiNnRROR/dA+hiEiI6WCNIvJI0bITEZd3NzmNiMi5GYZB3D2/IKxDK9Lue5aCnT9yeNB9JLz2B6KG9avw+MEuq+Pz+Sq8T5GaRAWhiEiIeTCyKQD2Dq2wxseZnEZEJDCOKy6m6cq3OXbfn3B/v4Njd/6BOuNHwbBe5RovLScLAxg9enRwORwOPvjgAw4fPkyrVq3KtW+RmkQFoYhICLGkHGNoWH0AHJfr3kERCS22xASafPpPMia/Sdb0eZz61xyivvyWBoY96LGyXE78wN+H3sKl7ToF3G9f5gkAMjIyVBCKoIJQRCSkhM9dgcUwcDatT90G8WbHEREJmhFmp/7fHiHi0q4c/+3z2LbvZ0HdHvjSTkKTFkGP1zo+ge5B9PNbLeQEvReRmivkJpXJyclh0qRJdO3alejoaOLi4ujduzcvvfQSBQUFFRo7LS2NJ554gvbt2+NwOIiPj6dfv368/fbb55wm+ccff2Tq1Klcf/31tGjRgvDwcKKiomjXrh333nsvmzZtqlAuEREAz0+Hsa8u+n2S1aWluWFERCoo+sYBNF35Nt4WjWhgCSPhiy3kf7tNS1OIXGAhdYbw4MGD9O/fn+TkZAAiIyNxu91s3LiRjRs3Mnv2bFatWkXdunWDHnvTpk0MGTKEjIwMAKKjo8nJyWHdunWsW7eOefPmsWDBAsLDw8/qt379eq688sqznouJicHtdrNv3z727dvHzJkzeeaZZ/jzn/9cvhcuIgKc/Of7GD4/qwsyuSg+1uw4IiIVFtamObn/fJwvhtzFLyIScK3ZRGHqcSKH9cMSEX7+AUSkwkLmDKHX6+X6668nOTmZxo0bs2LFCvLy8nA6ncydO5eYmBi2bNnC7bffHvTYWVlZjBgxgoyMDDp06MD3339PTk4OeXl5vPbaa9jtdpYvX85jjz1Woq/H48FqtXLTTTcxb9480tPTyc7Oxul08t1333HllVfi8/n4y1/+wjvvvFMZ3woRqYU8h46R89+lALzhPGRyGhGRShQRzu9y95LZuz1YLXh+PETOrIUUpmWYnUykVgiZgnDmzJls374dgPnz5zNo0CAALBYLt912G2+99RYAS5YsYdWqVUGNPWXKFI4dO4bD4WDx4sX06lU021VYWBgPPfQQkydPBmD69Ons3bv3rL5t2rQhKSmJTz75hFtuuYV69eoBYLVa6d27N6tWraJbt6KJH55//vlyvnoRqe1O/WsOFHopvLgdWwp194uI1Dy5bZsQM2o4lthofFk55Mz+HPf2vefvKCIVEjIF4bvvvgvAgAED6NOnT4ntI0eOLJ4patasWUGNfbr9mWOcafz48URHR+P1epk9e/ZZ25o2bUrbtm3LHDssLKx4OuT9+/dz8uTJoLKJiBQeSydnzucA5I8abHIaEZGqY2tUn5g7b8Deuil4vTiXrse5agN+rR0oUmVCoiB0Op2sX78egGHDhpXaxjAMhg4dCsDy5csDHnvPnj2kpKScc+zo6Gj69esX9NinRUREFD/2er1B9xeR2u3U6x/gdxcQcVk3vN3amB1HRKRKWRzhRP1yEBFXXAyAe3MSuR+twOdymxtMpIYKiYIwKSkJ3/8+GerSpUuZ7U5vO3bsGJmZmQGNvWPHjhL9zzX2rl27Ahr3TF9++SUAjRs3Lr6kVEQkEN7MLLJnLQCg7uN3gmGYnEhEpOoZhoGjbw+ibhwAdhuFB1PJeX8h3swss6OJ1DghMctoampq8eMmTZqU2e7MbampqcTHn3+NrmDHzs7OJjc3l+jo6POODfDNN9/w6aefAnDfffdhnOePObfbjdv9/5+AZWdnA0WT13g8noD2WVVO79/sHBI6dMyU7fDhw8WzGp9LxOylOJz5FF7UhF0xFvYkJeFwOPBbLRRaAi8ODZsNh8MBNms172ctelDtc9bsfqGUVcdM9ejnt1pwOBz4fL6gf+f7fL4yf69ZOrQiMj4O1/yV+E7lkD37cxw3D8LWtGGFsp7er96fJBDV6e+Zqshg+ENgsZc5c+YUzx66b98+2rQp/ZKpFStWMHhw0f01X3/9dan3Gv7cc889xzPPPAMUfYNtttJr5BkzZjBu3DigqIhs3Ljxecc+ceIEvXv35uDBg7Rt25bNmzeft5CcNGlS8SQ2Z5ozZw6RkZHn3aeI1ByGu4D2T87AlusiZdwIsi/tYHYkERFTWLPzaPGvT4g8cAyfzcrh+64ju1d7s2OJXHBOp5NRo0aRlZVFbGzlLEEVEmcIQ1Fubi433HADBw8eJCYmhnnz5gV0VvHpp5/m8ccfL/53dnY2zZo1Y/DgwZX2Qy8vj8fDihUruPbaa7Hb7aZmkdCgY6Z0W7du5aqrruKVm++iTYOGZbaLSUrBluvCE+PAn+ck5qsfWL13Fy99sZB3b72Pq7v2CHifn279nkfnz6z2/T7buZmEmwZRsOBLru7YrdrmrOn9Qimrjpnq0W9Hagojpr3AmjVr6N69e8D94P9/Jy564Em6JDYvs53/F4PJX/AlhT+m0HzaQvZ22MjNmxYFnXV72mFyr+xG48aN6dEjuP8vpHaqTn/PnL56sDKFREEYExNT/NjpdJbZ7sxtZ/YJZuyyiq5gxs7Ly2P48OFs2LCB6OhoFi9eHPAvx/DwcMLDSy7EarfbTT8AT6tOWSQ06Jg5m8ViweVy0Ta+Ad0bNSu1jd/rI/uzb/ABcZdfTEJiCwD2HT2Cy+WCQi82X+AXePgLC0Ok3/8m3qr2OWt2v1DKqmOmevQzvD5cLhcWiyXo3/enfycaXt+592m1YrtxAK5V3+L+YTftdh/lXuqDpzDorKf3q/cmCUZ1+HumKvYfEpPKJCYmFj8+cuRIme3O3HZmn8ocOzY29pxn+k4Xg2vWrCEqKorPP/+cK6+8MqAsIiKnFew+gC87DyMygrDOmllURATAsFhwDLqciCuLzuw9GtWCxH3HCIE7oESqrZAoCDt27IjFUhT1zFlBf+70tkaNGgU0oQycPbNoIGN36tSpzDani8GvvvqKyMhIPv/8c6666qqAcoiInOb3+3F/tx2A8J6dMOwhcTGHiMgFYRgGjj4Xs6dd0SX3jZJP4Fq5QUWhSDmFREEYGRlJ3759AVi6dGmpbfx+P8uWLQMonlgmEO3bt6d58+bnHDsvL4+1a9eec+y8vDyuu+46vvrqK6Kioli8eDFXX311wDlERE4rPHAYb/pJsNsIv1gTyYiIlOZQ83ieydmHH3D/sBvnim9UFIqUQ0gUhABjxowBYPXq1Xz77bclts+bN4+ffvoJgDvvvDOosU+3nzt3LsnJySW2v/766+Tm5mK1WotnOz3T6WLw9GWiKgZFpCLyv/3f2cGLO2CJKHlPsYiIFPmvO43krkX3Yhds3YNr9XcqCkWCFFIFYdeuXfH7/dx8882sWrUKKFpDZt68eYwdOxaAYcOGMXDgwLP6Tpo0CcMwMAyj1IJvwoQJNGrUCKfTyfDhw9m0aRMABQUFvPnmm0ycOBGAcePG0a5du7P6Op1ORowYwZo1a4iOjmbJkiW6TFREyq3wyHEKD6eBxUJEz7IvURcRkSInG9clcmjRfA3uTbvIX7fZ5EQioSVkbkyx2WwsWLCAAQMGkJyczKBBg4iMjMTn85Gfnw9Ajx49mD17dtBjx8XFsWjRIoYMGcKuXbvo1asXMTEx5OfnFy/+OHjwYF5++eUSfT/66CO+/PJLAAoLC7n11lvPua+PP/6YK664IuiMIlI75P/v3sGwzhdhiYkyOY2ISGgI79q2aIbUlRvI37AN7HYclwe+DIlIbRYyBSFAy5Yt2bZtG1OmTOHjjz/mwIED2O12OnfuzK9//WvGjx9PWFhYucbu2bMnO3fu5IUXXmDRokUcOnSIqKgounTpwpgxY7jnnnuKJ7Y5k8/nK36cn59fXJyWpaCgoFz5RKTm82acwvNjCgARvbucp7WIiJwpokdH8BTi+moj+Ws3YYmKILxruzLb79mzp9S/7c6lfv36xXNPiNQUIVUQQtEagJMnT2by5MkB95k0aRKTJk06b7uGDRsydepUpk6dGvDYd911F3fddVfA7UVEypL/XdFsxvY2zbHWq2NuGBGREBRxaVf87gLyN2zDuexrLFGR2Fs3PavN8dxsHMDYsWOL1lwMQqTDQdLu3SoKpUYJuYJQRKQm8uXkUbBrPwARl3U1OY2ISOiKuPKSot+pO/eTu2A1MSOHYWtUv3h7tsuFA5g86CZ6tWob8Lh7jx/lgbkzSE9PV0EoNYoKQhGRaiB/407w+bA1a4QtMcHsOCIiIcswDCKH9MWX66LwYCq581cSc/twrHVizmrXsm59ujdpYVJKkeojZGYZFRGpqXz5btxb9wBFlzuJiEjFGFYr0TcOwNqgLn6ni9xPVuIv8JgdS6RaUkEoImIy95bd4CnE2qAutlZNzI4jIlIjGOFhRN98LUaUA1/6KfI+X6M1CkVKoYJQRMREfk8h7s27AAi/tCuGYZicSESk5rDERBF900CwWvH8mEL++i1mRxKpdlQQioiYyL1jH35nPpa4aMI6tDI7johIjWNLbEDk4KI1oPO/2UrC0VPmBhKpZlQQioiYxefD/X3RUhPhvTpjBLkeloiIBCa8SxvC/7e+a6fthwk/fMLkRCLVh/76EBExSWTKCXxZuRiO8HMuniwiIhXnuKontpaJWH1+mr+5AIvHa3YkkWpBBaGIiElikw4CEH5JJwy7VgESEalKhsVC1PCryY+wE552khbbUzTJjAgqCEVETNHPXoewk7lgtxHeo4PZcUREagVLZATbL26Oz2qh7rFTxZN6idRmKghFREwwztEUgPBu7bA4IkxOIyJSe2TXieTYr/oD4PryewqPpJkbSMRkKghFRC4w656D9Amrg98wiOjV2ew4IiK1TuY1PchsXAd8fvIWrcGX7zY7kohpVBCKiFxg4R+uAiCvZUMssdEmpxERqYUMg5SuzbHExeDLzsW54hvdTyi1lgpCEZELqGB/Crb12wDI6djc5DQiIrWXz2YlasTVYBh4dh+gYOd+syOJmEIFoYjIBXTqtQ8w/H6+KMjEU0dnB0VEzGRLbEBE3x4AOFd+g/dktsmJRC48FYQiIhdI4bF0cj5cBsA05yGT04iICEDEZV2xNW0InkLyFn2F3+szO5LIBaWCUETkAsmaPg8KPBR2bsXmwhyz44iICKfXJ7wKIzwM77F08r/eYnYkkQtKBaGIyAXgzc4le+ZnALh/NcjkNCIiciZLbDSRQ/oCkL9hG56UoyYnErlwVBCKiFwA2f/5FF9OHvb2LSm8tJPZcURE5GfC2rckrGtbAPI+X4PPpaUopHZQQSgiUsV8+W6y3poHQJ2HR4FFv3pFRKqjyGsuw1I3Fn+uE+ey9VqKQmoFm9kBRERqutwPl+E9kYmtSQIxvxwEO7abHUlEpEokJSVdkD5VxQizEzXianJmf45n30EKtu8jvFs7s2OJVCkVhCIiVcjv9XLqtQ8AiHvgNowwu8mJREQqX1pOFgYwevToco+Rm5tbeYEqwNaoPo5+l+D6aiPOL77F1qwR1rqxZscSqTIqCEVEqlDe52vwHDiMpU4MsaNHmB1HRKRKZLmc+IG/D72FS9sFd5/0yt3beW75J+Tn51dNuHII790Fz0+HKTx0jLzFa4n59TCzI4lUGRWEIiJVxO/3c+qfswGIu/eXWKIjTU4kIlK1Wscn0L1Ji6D67D1e/Wb0NAyDyGH9yJ75Kd7U4+R/twOaxZkdS6RKaGYDEZEq4lq7CffWPRiOcOLuu9nsOCIiEgRrXDSRAy8DIH/9FuyZWj9WaiYVhCIiVeTUq+8DEPPr4Vjr1zU5jYiIBCuscxvsbVuAz0e9b3YRhmF2JJFKp4JQRKQK5G/aiWvNJrBZqfPwr82OIyIi5WAYBpGDr8CIdBCWlccTUS3NjiRS6XQPoYhIBaSkpJCenl7i+chJM7ADBQN6sv1EKpxILd5WnaZYFxGRc7NERhA1tC+5H6/k7ohEnD/sg0suMTuWSKVRQSgiUk4pKSl07NABp8t11vPtrJEsrnsJPr+f4R++yYEPppbav7pMsS4iIudmv6gZOW0Sifkxlcgp7+O9ZTjW2GizY4lUChWEIiLllJ6ejtPlYtrIsbRLaFz8fL31O+FgGq4WDXnn9t+V6Fcdp1gXEZFzO9WjDZl79tPiBKQ//SoNX3/G7EgilUIFoYhIBbVLaFw8zbr3ZDbZKccBaNT/cpo2rFeifXWcYl1ERM7Nb7cxIWcvH8ZfTO6HS4ka2pfo6/ubHUukwjSpjIhIJcr/bjv4/dhaN8VWSjEoIiKha0thDu5fDQLgxIQpFB4reQ+5SKhRQSgiUkl8OXkU7PgRAMdl3UxOIyIiVcE9eihhXdviy8zixGMv4Pf7zY4kUiEqCEVEKkn+9zvA58PWrBG2pg3NjiMiIlXBbqPhGxMxwsNwrtxAznsLzU4kUiEqCEVEKoHPmY976x4AInR2UESkRgvr0Ir4P44DIH3iv/D8dNjkRCLlp4JQRKQSuDfthEIv1kb1sbVMNDuOiIhUsbhxtxJx5SX4nfmkPfw3/IWFZkcSKRcVhCIiFWQUFOLeshsoOjtoGIbJiUREpKoZFgsJ//oDlpgo3N/v4NS/5pgdSaRcVBCKiFRQzL7D+N0FWOrVwd62udlxRETkArE3bUj9vz8KQOY//l1864BIKFFBKCJSARFYiNl9qOixzg6KiNQ60bcOIWrE1VDoJe2hv+LLd5sdSSQoKghFRCrgVxENsbo9WOKiCevYyuw4IiJygRmGQYMpE7AmxOPZk0zm36abHUkkKCoIRUTKq8DD/Y6mAERc2hXDol+pIiK1kbVeHRq8+jQAWdM+xLl2k8mJRAKnv15ERMopbMk3NLSGUxgZTljXtmbHERERE0UNupzYu24E4PjDz+HNzDI5kUhgVBCKiJSDz+UmfO4KALI7t8SwWk1OJCIiZqs36SHsbZrjTT3O8fHP4ff7zY4kcl4qCEVEyiH7vYVYMrNJ9eaT27qx2XFERKQasEQ5aDhjMkZ4GM7lX5P11jyzI4mclwpCEZEg+VxuTv3zfQDecB0Gq36ViohIkfAubaj354cByPjzm+T/sNvkRCLnpr9iRESClD1rAd60DHwJdZmfn2Z2HBERqWZi776paCkKTyFpY/+ENzvX7EgiZVJBKCIShDPPDub/ejAedH+IiIiczTAMGrzyJLZmjShMTiX9iRd1P6FUWyoIRUSCkP3vj/Eez8TWtCGeay81O46IiFRT1rgYGk6fBDYruZ9+Qc77C82OJFIqm9kBRERChS8nj5OvFp0drPu7u8mw61eoiIiULaJXZ+KfGUfm5DdJ/8OrhPfqQnjH1gH3T0lJIT09Pej91q9fn+bNmwfdT2on/TUjIhKgU2/+F9/JbOxtWxDzqyGwbZvZkUREpJqr8+BI8tdtwblqA2lj/0TT5TOwREact19KSgodO3TA6XIFvc9Ih4Ok3btVFEpAVBCKiATAm36SU2/MBSD+qXsxbPr1KSIi52dYLCS89gcO9b8bz55k0p9+hYRXnzpvv/T0dJwuF9NGjqVdQuDLG+09fpQH5s4gPT1dBaEERH/RiIgE4OQ/Z+PPcxHWrV3RzHEiIiIBstavS8O3/kTqLx8lZ87nRPTqTOwd1wfUt11CY7o3aVHFCaU2C7mCMCcnh5deeon58+dz4MABrFYr7dq1Y+TIkYwfP56wsLByj52WlsY//vEPFi1aREpKCg6Hg86dOzNmzBjuvfdeDMMotd+xY8dYs2YNmzdvZtOmTWzevJnMzEwAVq9eTf/+/cudSUTMV5h6nOx/fwJAvT+Mw7BoPi4RkdoqKSkp6D7169ened8exD91L5nPzeDEUy8T1qUNET06VkFCkeCEVEF48OBB+vfvT3JyMgCRkZG43W42btzIxo0bmT17NqtWraJu3bpBj71p0yaGDBlCRkYGANHR0eTk5LBu3TrWrVvHvHnzWLBgAeHh4SX6Tps2jcmTJ1fotYlI9ZU5ZSZ+dwERfbrjuEYzi4qI1EZpOVkYwOjRo4Pue/qevma/HU3+liScS9aRdvcfabrybaz1g/+7VaQyhUxB6PV6uf7660lOTqZx48bMmjWLQYMG4fP5mDdvHmPHjmXLli3cfvvtLF68OKixs7KyGDFiBBkZGXTo0IH33nuPXr16UVBQwIwZM3jsscdYvnw5jz32GG+88UaJ/oZh0KxZMy655BIuueQSEhMTGTt2bGW9dBExUcHuA+TM/hyA+GfGlXmlgIiI1GxZLid+4O9Db+HSdp0C7vfze/oSXnuGI4PH4dl/iLT7J9P4v1N0X7qYKmSOvpkzZ7J9+3YA5s+fT58+fQCwWCzcdttt+Hw+Ro0axZIlS1i1ahUDBw4MeOwpU6Zw7NgxHA4HixcvplWrVgCEhYXx0EMPkZ2dzR/+8AemT5/Oo48+Srt27c7q/8c//pE//elPxf8+fQZTREJfxuQ3wOcjavjVOC7rZnYcERExWev4hArd02eNjabRzL9xeMj9uNZsIuMvb1F/8kOVmFAkOCFzI8y7774LwIABA4qLwTONHDmyuJCbNWtWUGOfbn/mGGcaP3480dHReL1eZs+eXWK71WoNan8iEhqcX23EuXID2KzET7zf7DgiIlJDhHVoRcI/nwYg6425ZM9dYnIiqc1CoiB0Op2sX78egGHDhpXaxjAMhg4dCsDy5csDHnvPnj2kpKScc+zo6Gj69esX9NgiErr8Xi8Zf3odgLi7f0HYRc1MTiQiIjVJ9I0DqPvEGABOPPEi+d/vMDmR1FYhURAmJSXh8/kA6NKlS5ntTm87duxY8Syf57Njx///zxfI2Lt27QpoXBEJbTnzllOw80cssdHFb9giIiKVqe7v7yFq+FVQ4OHYmGcoPJJmdiSphULiHsLU1NTix02aNCmz3ZnbUlNTiY+Pr/Sxs7Ozyc3NJTo6+rxjl4fb7cbtdhf/Ozs7GwCPx4PH46mSfQbq9P7NziGhI1SPGZ8zn8znpgMQ+8gofLFR+Ep5DT6fD4fDgd9qodAS+GQzhs2Gw+EAmzWofhXpGzr9/ncJfrXPWbP7hVJWHTOh3c+crBf2mPFbLTgcDnw+X6nvh3VfeZKCA4fx7PqJ1NFP0fDTV7FEOsr9HnO+/UnwqtPfM1WRwfD7/f5KH7WSzZkzh9tvvx2Affv20aZNm1LbrVixgsGDBwPw9ddfl3qv4c8999xzPPPMM0DRN9hWxixPM2bMYNy4cUBREdm4ceMyx0xOTi6+FzHYdQgnTZpU6hIWc+bMITIyMuBxRKT8Ej5bT8LCbyioF8u+v96D3x4Sn52JiEiIsqdncdFf38eW6yK7+0WkPHQjaM1bKYXT6WTUqFFkZWURGxtbKWPqr5xq5umnn+bxxx8v/nd2djbNmjVj8ODBlfZDLy+Px8OKFSu49tprsdvtpmaR0BCKx0zhwVRSH3oVgMTnH6PNiKvLbLt161auuuoqFj3wJF0Smwe8j0+3fs+j82fy7q33cXXXHkHlK2/fUOn32c7NJNw0iIIFX3J1x8BndQ2V1xcq/UIpq46Z0O5nxj4v9DGzIzWFEdNeYM2aNXTv3r3Mdu6OXUn71RPEbt1Pn++SSbm5X7neYwLdnwSuOv09c/rqwcoUEgVhTExM8WOn01lmuzO3ndknmLHLKrrKM3Z5hIeHEx4eXuJ5u91u+gF4WnXKIqEhlI6Z9D9PA7cHR79LiL1p4DnXHbRYLLhcLgyvD5sv8Ist/IWFuFwuKPQG1a8ifUOnn7foQbXPWbP7hVJWHTOh3c+crBf2mDG8PlwuFxaL5ZzvhfYresDrE0m771ly3v6YiDCjXO8xge5Pglcd/p6piv2HxLnoxMTE4sdHjhwps92Z287sU5ljx8bGVtn9gyJiLueqb3EuWQdWK/Wfe1SL0IuIyAUVfeMA4ic+AEDEtI8ZGHb++TBEKiokCsKOHTti+d911GfOCvpzp7c1atQooAll4OyZRQMZu1OnTgGNKyKhxV/gIf2ZoktF48beTFiHkmuSioiIVLU640cRc8f1GD4/r8a0J+xEltmRpIYLiYIwMjKSvn37ArB06dJS2/j9fpYtWwZQPLFMINq3b0/z5s3POXZeXh5r164NemwRCR2n3voQz/5DWBvEU/d3d5sdR0REainDMGjwj8fxXNqJCMNKg6+24k0/aXYsqcFCoiAEGDOmaB2w1atX8+2335bYPm/ePH766ScA7rzzzqDGPt1+7ty5JCcnl9j++uuvk5ubi9VqLZ7tVERqDs/BVDL/8R8Acu4cytYf97J58+bzfiUlJZmcXEREaiLDZsP5zN1s8WRjLSgk56Pl+LJzzY4lNVRIFYRdu3bF7/dz8803s2rVKqBoHbB58+YxduxYAIYNG8bAgQPP6jtp0iQMw8AwjFILvgkTJtCoUSOcTifDhw9n06ZNABQUFPDmm28yceJEAMaNG0e7du1K9Pf5fKSnpxd/nTz5/5/iZGVlnbXtzDUGRcR8fr+fQ+P/BvluvvNk0f3pB+nZs2dAX6NHjwYgN1dv0iIiUskiwhibvQtPbCT+HGdRUejMNzuV1EAhMcsogM1mY8GCBQwYMIDk5GQGDRpEZGQkPp+P/Pyi/zl69OjB7Nmzgx47Li6ORYsWMWTIEHbt2kWvXr2IiYkhPz+/ePHHwYMH8/LLL5faPyUl5f/au/O4qMr9D+CfmYEZBoZVRHCDNFFRf6aUt3LXcs2bLZaZZWnaTa+ZuZRyc6m0MrVFbdGKtOu1MjXLFaXctVwyN9wRRAHZHJgZ1pnn9wfNCWSAGYZxGObzfr1OHc45z3Oeg1+Y58s553mkeQdvNXTo0HJfx8bG4rnnnrO5jUTkGLof4iAOnkChMKGkRyfE3/GI1WV3nj2J+XEbpN9BREREtemmKMGN3nehafxxmLK00K3dDs2TAyD3qjgiPVFNuUxCCAARERE4ceIEFi5ciPXr1yMxMRGenp5o164dnnrqKUycOBFKpbJGdUdHR+P06dN47733sGnTJly9ehU+Pj5o3749Ro0ahdGjR0sD2xBR/WDMuonMN5YAAJYakjHsjgfQsUm41eXP30h1VNOIiIgAAEYfL/g+0R95326F8UY2dD/sgO8T/SFTckoJqh0ulRACpXMAzp07F3PnzrW6zJw5czBnzpxqj2vUqBEWL16MxYsX29SmiIgICGHbnDtE5HyZs5bClKWFMSIMXxzZj2HObhAREZEFigYB0AzrD913W2FMzYBu3Q5oHu8HmafLdeWpDuItLyJyS4b436D7fjsgkyF/8nAUg3/UISKiussjJAiaYf0BpSdKUtKh2xAPUVLi7GZRPcCEkIjcjjFbixuT3gEA+I99HMY2Ec5tEBERkRU8QoPh+/iDgKcHSpKuQ//TLgij0dnNIhfHhJCI3IoQAhnTF8OYngXPVuEIihnn7CYRERFZzaNJI2gefQDwUKD40lXoN++BMJmc3SxyYUwIicit6NbvhH7jL4CHAiGf/Adyby9nN4mIiMgmns3DoBnaB5DLUXzuCgxb9zEppBpjQkhEbqPkWjoyp5cOGhU4ZRS87mrj5BYRERHVjOcdTeHzz16ATIaiM5dg2LKXSSHVCBNCInILwmjEjYnzYcrVQdW5LQJfecbZTSIiIrKLslU4fIb0AuQyFCVchv6nXYCRSSHZhmPVEpFbyFm0Evl7j0Hm7YWQT/4DmQd//RERketTto4AFH2g/+lXFF9IQkO9Dire8yEbMFqIqN4z/Po7chZ+DQBouHAqlC2bO7dBREREtUh5Z3NpoBn19Sys8IsCCgqd3SxyEUwIiaheK0nNQPpLbwJCwO/Zf8J3WH9nN4mIiKjWeUY0gebxfjB5KHC/MgA+Mz+FKU/v7GaRC+AzU0RUb4niEqSPnQNTlhbK9q3QYN7Lzm4SERG5qYSEBIceDwCezUJxo89dUG/7Df6nE3H90VcQ9v0iKAL9bK6L3AcTQiKqt7JmLUXBbycg9/VB6JdvQu6lcnaTiIjIzaTnaSEDMHLkyBqV1+l0Nh1fFOyPcdqT+DG8GwqPn8X1R15G2HeL4NGoQY3OT/UfE0Iiqpe0sRug/WIdACBk6Ux4tmjq5BYREZE70uYbIAC8O+BxdImMsrrczrMnMT9uAwoKCmw+5xmjHvr3JyLgjeUoOn0J1wa/hLDvFvIderKICSER1TuG3UeQOeMjAEBQzDj4DOrh5BYREZG7axEUgo5Nwq0+/vyNVLvOZ4oIQ5NNn+D6E1NQcuUarg0ej7DV78Erup1d9VL9w0FliKheKbqYjPQxbwBGIzRP9EfApJo9okNEROTqPO9ogiZbPoXqrjYwZWlx/dFXoN9x0NnNojqGCSER1RslN7KRNuI1mLQ6eN3THiGLp0Mmkzm7WURERE7j0TAQjTd8BHXvLhCGAqQ9MwO5/9vs7GZRHcKEkIjqBaM2D6lPTEFxYgo8moeh0cr5kKmUzm4WERGR08k13ghb/R40TwwAjEZkTHoXOYtWQgjh7KZRHcCEkIhcnslQgLSnX0fR6YtQNAxC47WL4dEw0NnNIiIiqjNknh4IWTpTepUi+90vkPnaYgij0cktI2djQkhELk0UlyB9zBul00v4aRD2/SKOKEpERGSBTCZDg/+8iOB3XgFkMuTG/oi0ka9zAns3x4SQiFyWKCpG+tjZMOw8BJlahdD/vQdV+zud3SwiIqI6zf+Fx9DoyzchU6tg2HkIKYNeQvGV685uFjkJE0IickmmgkKkPRcD/eY9kKmUCI2dB/U//s/ZzSIiInIJmiG90PinpVCEBqP4bCJSBoxD/sE/nd0scgImhETkckx/jZJm2HGw9M7gN+/Au+8/nN0sIiIil+J1Vxs0jVsOVcfWpdNSPPYKRyB1Q0wIicilGLV5SB0+Ffm7DkPmrUbYmvfh3buLs5tFRETkkjzCGqLxT0vhM6QXUFyCjEnvInPOMg4240aYEBKRyyi+moZrg8ej4OCfkGm8Efb9Qqi7dnJ2s4iIiFya3NsLjb6Yi8CpzwEAtMu+RdqzMznYjJvwcHYDiIisUfjnOaSOmA7jjWwowhoi7H8LLA4gk5ycjMzMTJvqTkhIqK1mEhERuSSZXI6g18bAMzIcGRPfgSHuAFL6jUNo7NtQtrnD2c0jB2JCSER1nn7rXqT/600IQwGU7Voi7H8L4NE4pMJxycnJaNumDQz5+TU6j06ns7epRERELs33kQfgGd4Yac+/geKLyUjp/yJCPnwNmkf6Ortp5CBMCImozhJGI7Lf/RI3P/wGAKDudQ9Cv3oLcl8fi8dnZmbCkJ+Pz4aPRWRImNXn2Xn2JObHbUBBQUGttJuIiMiVeXWOQrP4L5D+4lzk7zmK9HFzUHDkNBrMfgkypaezm0e1jAkhEdVJxqybSP/Xm8jfdRgA4D9uGBrMGQ+ZZ/W/tiJDwtCxSbjV5zp/I7XG7SQiIqqPFMGBCPt+EbLf+QI3P/ovtMvXovCPBDT66i14hAY7u3lUi5gQElGdk3/wT1wfNxtIy4JQKZE/eTi0vaORfPJEleX4LiAREVGpmnwmFhYWQqVSld846B54BHjB+/3/ouDwKST2eBaGmc/B+H9/v8cfHByM5s2b29tkchImhERUZ4jiEmQv+Ao3P/4vYBJIMubjpbRjOD/1F5vq4buARETkrtLztJABGDlypM1lZQBEJfvC5V5Y6tcWbXMAr6kf4yNDEj7PT4EJgLdajYSzZ5kUuigmhERUJxRdTMaN8W+j8I/Sv2j+UJCOBgO647PGg62ug+8CEhGRu9PmGyAAvDvgcXSJjLK6nPkztKpyshIj9L+fg8+VNEzxicCEO+7C4chgPP/j18jMzGRC6KKYEBKRU4niEtxctgY5C7+GKCyC3F+DvH8/jtcnv4BfGj/FdwGJiIhqoEVQSI0+Q6srJ5rfgaLTF2HYeQheN27i/ps69Fc2sLu95DycmJ6InKbwz3NIeXAssucthygsgrrXPWi2+2uU9OBk80RERHWRTCaDqn0r+I36JxShwVAUlWCZX1uoP/wWJn3Npn0i52JCSES3nTEnFxnTFyOl3zgUnb4IeaAfQpbFIOz7RfBo0sjZzSMiIqJqKAL94TtiELRR4TAJAeXWg0h54AUU/nnO2U0jGzEhJKLbRhiN0H79I5L/8RRyYzcAJhM0jz6AZvv/C98nBkAmkzm7iURERGQlmUIB7V0t8WzuKZga+JdOZD/wX8j58BuIkhJnN4+sxHcIicjh/jx+HMpj5+H15UYoEkvfUTBGhCF//GPQdmyFa1cTgauJ0vGcPoKIiMh1HCrWQvfZawiL3Qr9lr3Inrcc+k270fCj16Fqd2f1FZBTMSEkIodJSUmB15U0nHt+Fu5V+AEAtKYSfGhIwv+O7INx9Noqy3P6CCIiItcg/HzQ6Ot50H2/HZkxH5WOE/DACwic/CwCX3kGMqWns5tIlWBCSEQOUXjmEgpmLsad+0/gToUfhFyGvMimyGsXgedVnni+irKcPoKIiMj1yGQy+D45AOqedyPztcXQb9mLnPdjod+8Gw0/mgGvu9o4u4lkARNCIqpVhQmXkbNoJfQbf4ESgJAB+ohQNH6wG4L8fa2qg9NHEBERuZYKr3u8/Bg872oJr2VrUXTmMlL6j0Ph431QOHIAoFICAIKDgzl3YR3AhJCI7CaEQMGhE7i5ZDUMOw5K24t63IWkB+6C8kIKmlmZDBIREZHrSM/TQgZg5MiRFvcHyTzwH58W+KdXCLy+j8eNNZsxX38ZO4uy4a1WI+HsWSaFTsaEkIhqTJhMMGzbh5yla1B4+FTpRpkMPg/1RODU53DSkIPCa9egvJDi3IYSERGRQ2jzDRAA3h3wOLpERlV6XEZKBgIPn0fzfOAzvyhkNvDBUxf3IDMzkwmhkzEhJCKbicIi5P2wAzeXrUHxhSQAgEylhO/wgQgYPxyeLZqWHnjkiBNbSURERLdLi6AQdGwSXvkBTcIhOnVEwaETKDhyCsFZemwJ6ATTio0wLWgNua/P7WsslcOEkIiskpycjKyzF6HcfADKrQcgz8kDAAgfNQof6oqioT1xM8gPV2/eAI7dAACcO3cOGo3Gmc0mIiKiOkKm9IS6RzSUHVohfcsuqK9nAT/8guQ9x9Fg9kvQPN4PMjmnSb/dmBASUZWEEEjasB3bxkxFb0UAPP6aPD7NWIjYguv4LisNumU7gGUVy6rVaqxZswY6vf42t5qIiIjqKkWgHzJ6dcTcT5dgeduewPVM3JgwD9ov1iPojRfh3T3a2U10K0wIicgik86AvLXbof1qA4xnE/GgRyAAoCAkAHmRTVHUNBhPy+V4uoo6frl0FgBQyOkjiIiI6Ba7i3Og+3wG7vj9AnIWrUThHwlIffQVqHvdgwb/eRGqjq2d3US3wISQiCTm0ULz1myBbuOvEIb80u1eSvwvJwl9HnsYUe3aIczK+i5kZziusUREROT6lB4IfPlp+A4fiJsfrIJ25Ubk7zqMlF2H4TOoOwJfHcXE0MGYEBIRSlIzkPfdNuSt2YLiy3+PCOrZshn8Rj+Ky23DMLtHN3QP4PuAREREVPs8QoIQ/M4r8H/xCWS/9wV063ZCv2Uv9Fv2wrt/VwROfgZe0e2c3cx6iQkhkZsy6fNhiDuA3G+3In/XYcBkAgDIfNTQPNwHvk8Ngtc/OkAmkwHHjjm5tUREROQOPCMao9GnsxD46ijkLF4J3fp4GLbvh2H7fnjd2xEB/34K3g/ex8FnahETQiI3YioohCH+N+h/jIc+7gCE4e93+7zu6wjfpwZBM6QX5BpvJ7aSiIiI3J2yVXhpYjj1Odz84Bvkrd+JgkN/Iu3Qn/BsFQ7/0Y/A98kBnK6iFjAhJKrnRFExDLsOQ/djPPRb90HoDNI+Y1gDFPeKRvGDXaBt0hDpAHD+bIU6EhISbl+DiYiIyG1Y1ccYPRCyf94H1Y97oNy8H8UXkpA540NkvfU5fJ/oB79nH4aqQyvHN7aeYkJIVA8Zs27CEH8I+riDyP/1d5hyddK+VFMRNhfcwKaiTJzK1AEnNwJLrKtXp9NVfxARERFRNdLztJABGDlypE3lNDIFhmmaIKbtfRCXryH3643I/XojlO3uhO/wAdA81g8eDQMd0+h6igkhUT0ghEDRmUswxB2AfsdBFB45DQgh7VeEBEHzz964FtUUPZ4dhk+Hj8XHIdaOFQrsPHsS8+M2oIDTRxAREVEt0OYbIAC8O+BxdImMsrrc+Rup+Ne3K/DvT9ajbYEc2tgfod+6F0WnLyLrjaXImvMp1N07Q/NwH/gM6g5FkL/jLqKeYEJI5IKEEEje9ztydx+Gx8mL8DhxEfJMbbljjC2aoPgf7VDSJQrG1uHIVsiRkJAAASAyJAwdm4Rbfb7zN1Jr+QqIiIiIgBZBITb1SSQyGdRdO0HdtROMObnQ/RiPvG+3ovBYAvJ3HUb+rsPImLYQ6m6d4dPvfng/eD88IxrX/gXUAy6XEObl5WHRokVYt24dEhMToVAoEBkZieHDh2PixIlQKpU1rjs9PR0LFizApk2bkJycDLVajXbt2mHUqFEYM2ZM6WiLVbh06RIWLFiAuLg4pKamws/PD506dcK4cePw2GOP1bhdRMJoRPGFZOQfPI6CA8eh23sMyLqJskO/5AsjDhZr8UtRNnYXZSM1swj43XJ9fPSTiIiI6gtFoB/8n38E/s8/gqJLV6H/6VfoftqFolMXpOQQMz+CZ2Q4vHveA3XPu6G+/y4OSPMXl0oIk5KS0KtXL1y5cgUA4O3tjcLCQhw5cgRHjhzB6tWrER8fj8BA258bPnr0KPr374+srCwAgEajQV5eHvbt24d9+/Zh7dq1+Omnn6BSqSyW37JlC4YNGwaDoXTADj8/P2RlZSEuLg5xcXF4/vnn8eWXX1abVBKJwiIUnU1E4ckLKDxxHoUnz6PozKVyI4ICQKEwwRCogbxpCApCAlAU7I87PRS4E8C4Surmo59ERERUnylbNoNy8rMInPwsii5dhWH7fujjDqDg0AkUn0+C9nwStCt+ABQKqP4vEqrObeEVHQVV5yh4tmjqln11l0kIjUYjhgwZgitXriAsLAyrVq3CAw88AJPJhLVr12Ls2LH4448/8PTTT2PLli021a3VavHQQw8hKysLbdq0wTfffIO7774bRUVFWLFiBSZPnoy4uDhMnjwZn3zySYXyiYmJeOKJJ2AwGNC1a1d89dVXiIyMhE6nw/vvv48333wTsbGxaNOmDaZPn15b3xJyYUIImLK1KL6cgqJLV1F8OaV0uZiMovNXgOKSCmVk3mp4RbeF1/134WqwD7o8Pxzbnn6Dj34SERERWaBs2QzK8cMRMH44jNo85O86gvy9R5G/5yiKE1NQ+EcCCv9IQO6X6wEA8kA/qDq1hVfntlB1agNl25bwaNrIyVfheC6TEH799dc4efIkAGDdunW47777AAByuRxPPvkkTCYTRowYga1btyI+Ph59+/a1uu6FCxciLS0NarUaW7ZswR133AEAUCqVmDBhAnJzczFz5kwsX74cr7zyCiIjI8uVnzVrFvR6PUJDQ7Fp0yYEBAQAKL3LOHfuXKSlpWH58uWYN28exo4dW6M7mHXJn3/+CbmNk4EGBwejefPmDmpRRcnJycjMzLS5XG20UwgBoTOgJDUDJWmZMKZm/r2elomS6xkovnwVJm3lj22aNN4w3dkUxjKLqXFDQFH6fU9ISEARRKXliYiIiOqzGk2J1cwfhY91hWpEH8huZMPjdCIU55KgOJsExcUUmHJykf/Lb8j/5TepiPBWwRgehpAWocCgQbV4BXWHyySEK1euBAD07t1bSgbLGj58OGJiYpCYmIhVq1bZlBCuWrVKqsOcDJY1ceJEzJ8/HzqdDqtXr8bcuXOlfXq9HuvWrQMAvPTSS1IyWNaMGTOwfPly5Obm4scff8Tzzz9vddvqkpSUFABAjx49kJ+fb1NZb7UaCWfP3pakMDk5GW3btIHBxjYCpe0888efaBLYAEKfD5POULro8yH++r9JZ/hrnx7GbC1MObkwZufCeDMXpmwtjDm5Fu/wWdSoAX67nohLRXokmQpwxZiPsyV6XMssBK4A2Fl1cb4LSERERO6kptNVmMkAi39S94QMrT180NFDg44evojy0KCFQg2loRAeCVfg5SlHSkqKxVzB1blEQmgwGLB//34AwMCBAy0eI5PJMGDAAHz66aeIi4uzuu5z584hOTm5yro1Gg26d++OrVu3Ii4urlxCuG/fPik5qqx8REQE2rZti4SEBOl9QleU+2M8AtJv4Nt7H0aoj2/pRvPUBqL0PzLpJ0yUbhNARp4W3x07gNzlP+Bm0yalZQQgTCZpHUIAJpO0LsTf66X7BIR5/a+vSyv5a7vp73269BuYIg9D345RCFB6QWY0QWYylf6/7HLLNmE0QmESKOk2Gkm18P2S+/pAERYMj7CG8AgNhiL0r/WwYHhENIFnRBMcP3sGT0dH47PhY9GN00AQERERVamm01UAf/efrC2bZjLBIy8fWSnXoenTGcasLCaEzpKQkACTyQQAaN++faXHmfelpaUhOzsbQUFB1dZ96tSpCuUrq3vr1q04c+ZMpeXbtWtXZfmEhAScPn262jbVVd5Lf4AmV4+mNpYLAjBL0xL4fAOyHNGwW6gAjFI3Bq7dtKsemY8ach815Brv0nWNd4WvFYH+kAf5QRHgB3mQPxSBZf7vo7b6XJwGgoiIiMh6NZmuwtx/srXs8SBf5LWLQIBNZ3MdLpEQXr9+XVpv0qRJpceV3Xf9+nWrEkJb687NzYVOp4NGoylXPjAwEN7e3tWWL3s+SwoLC1FYWCh9rdWWzi2XnZ2N4uLiKss6Wk7b5ii6qUVRRja8PZUQMqD0xrv5fzLpSyH7e7u+sBB/XE/C3dHR0Pj6AjIZIDfvl5VZytQnl5Wuy2Vl6vrrmLJlyh4rKz1vzs0cbN8eh56t2yPQzxdCLodQKACF/K918yIr/fqvbcm5OXhzxwa8+f4CtGzbGrDxPUm5zABTtg7IrvrfuKwLFy7Ay8sLJ9KuQVdSZHW5S9mZ8PLywtnsG/BKulBny13OyYSvwYDLOXW7na5SzpXayphx7XKu1FbGjGuXc8Y5GTPuWc6esok3s9HQEInc3FxpRgJnycvLA1A6ZkWtES5g9erVfz0fCHHhwoVKj4uLi5OOO3DggFV1z5s3TypTXFxc6XHLly+Xjrt+/bq0fezYsQKAaNKkSZXnmTlzpgAglEpllcfNnj1bOg8XLly4cOHChQsXLly43LpcvXrVqlzHGi5xh9CdzJgxA6+++qr0tclkQnZ2Nho0aOD0eVFyc3PRrFkzXL16FX5+fk5tC7kGxgzZijFDtmLMkK0YM2SruhQzQgjk5eWhcePGtVanSySEvr6+0rp54ndLyu4rW8aWuiv7R66sbvN6Ve0qu7+6dqlUKqhUqnLbLI1c6kx+fn5O/2Eg18KYIVsxZshWjBmyFWOGbFVXYsbf379W67PtJSknKZsBX7t2rdLjyu6zNmu2tW4/Pz/p/cGy5XNycqpMCs3lazObJyIiIiIisodLJIRt27aVJkIvO6rnrcz7QkNDrRpQBig/sqg1dUdFlR+itmz5qkYQNZevaiRSIiIiIiKi28klEkJvb2907doVALBt2zaLxwghsH37dgBAv379rK67devW0mTpldWt1+uxd+9ei3V369YNarW6yvJJSUlISEiwuW11jUqlwuzZsys80kpUGcYM2YoxQ7ZizJCtGDNkq/oeMzIhanPMUsf58ssv8cILL0Amk+HgwYP4xz/+UW7/999/jyeffBIAsHPnTvTt29fqut944w28/fbb8Pb2xunTpxEREVFu/4IFC/Daa69BoVDgzJkziIyMLLf/mWeewX//+1+EhYUhISGhwnO948ePx6effgpfX18kJSUhMDDQhisnIiIiIiJyDJe4QwgAo0aNQocOHSCEwGOPPYb4+HgApaNwrl27FmPHjgUADBw4sEIyOGfOHMhkMshkMly5cqVC3VOnTkVoaCgMBgMGDx6Mo0ePAgCKiorw6aef4o033gAAjBs3rkIyCABvvvkmfHx8kJqaiiFDhuDChdJ5TfR6Pd5880189tlnAID//Oc/TAaJiIiIiKjOcJk7hABw5coV9O7dW0rqvL29YTKZUFBQAADo1KkT4uPjKyRdc+bMwdy5cwEAiYmJFe4AAsDRo0fRv39/abJJX19fFBQUSJPB9+vXDz/99FOlt4q3bNmCYcOGSQPL+Pv7Q6fTwWg0AgCee+45fPXVV06fOoKIiIiIiMjMZe4QAkBERAROnDiBWbNmoX379pDJZPD09ER0dDQWLlyIQ4cO1fgOXHR0NE6fPo3JkyejVatWKC4uho+PD7p164YVK1Zg69atVT43PGjQIJw4cQJjx45FREQE8vPzERAQgAcffBA//PADYmNjmQwSEREREVGd4lJ3CImIiIiIiKj2uNQdQrJOVlYWYmNjMXLkSERFRcHHxwcqlQpNmzbF0KFDsWHDBrvq3717N2JiYtC/f3+0atUKgYGB8PT0REhICHr37o2PP/4Y+fn5lZb/+eefMXXqVPTu3RstW7aEn58flEolGjdujIEDByI2NhYlJSVVtiE/Px8ffPABunfvjgYNGsDT0xP+/v6Ijo5GTEwM0tLS7LpGd+LoeLl58yY2btyIWbNm4aGHHkJYWJj0Tu/XX39dbXl746VXr17S+SpbmjZtatc1uhuDwYCtW7fi7bffxqOPPorw8HDpezlnzpxaO8/mzZvx8MMPIzQ0FEqlEqGhoRg8eDA2btxYZTl7Y2b16tV4+eWX0a1bN0RERMDHxwdeXl5o3rw5HnnkEaxbt67WrtFdODJmrly5Uu3PeNnl+eefr1BHbXwuAcCxY8cwcuRING3aFCqVCmFhYXjkkUfwyy+/2HWN7sjRv2fKji9R1XLx4kWL5S9evIjFixdjyJAhCA8Ph0qlgo+PDyIjIzFmzBhpPIqqsC9TuxwdM/b2f+2NGYf2ZwTVOx4eHgKAtHh5eQkfH59y2wYOHCj0en2N6h88eHC5unx8fCrUf8cdd4hz585ZLN+uXbtyx/r6+govL69y2zp37izS0tIslr9y5Ypo1apVueP9/f2FXC4v9/Xu3btrdH3uxtHxEhsbW66usktsbGy15e2Nl549e0px2qhRI4tLp06danRt7urXX3+t9N909uzZdtdfUlIiRo0aJdUpk8lEYGBguVgdPXq0MJlMFsvbGzO3xr+/v79QKpXltvXr10/odDq7r9VdODJmkpOTK/3ZNi/+/v7S+ZYtW1ahDntjRgghVqxYUS5G/f39hUwmq9WfDXfi6N8zs2fPFgCEp6dnlbGTmJhYoey+ffsqtMnX17fc7wm5XC7eeOONSs/Pvkztc3TM2NP/rY2YcWR/hglhPQRAdOnSRXzyySfi0qVL0vbExEQxZswYKfBGjhxZo/o/+OAD8fHHH4tjx46J3NxcaXtmZqb4+OOPhVqtFgBEVFSUMBqNFcrPnj1bLF++XJw+fVoYDAZp+7Vr18TcuXOlX4b9+/e3eP4ePXoIAEKpVIqlS5eKvLw8IYQQhYWFYuPGjaJJkyYCgGjUqFG5+skyR8dLbGysCA0NFQMHDhQxMTFi3bp1NiWE9saL+RcoO2O159dffxWBgYGib9++Ytq0aWLNmjUiNDS01r7PMTExUoxMmjRJZGRkCCGE0Ol04sMPPxSenp4CgJg3b57F8vbGzKRJk8TKlSvFhQsXREFBgRBCCJPJJC5duiQmTpwote3FF1+0+1rdhaNjpjr//ve/BQChVqtFTk5Ohf32xsyBAweEQqEQAMTQoUPF1atXhRCln4svvviiFDPfffedQ66vPnJ0zJgTwp49e9aobQqFQgwdOlSsXbtWZGZmCiFK/5j1+++/i27dukn/5l988YXFOtiXqX2Ojhl7+r+1ETOO7M8wIayHfvnllyr3l/1wSk5OrvXzf/7551L9+/bts7n8jBkzpPLmD1WzK1euVPvXnp07d0rHbNu2rSaX4FYcHS/FxcUVttmSEFanqngRggmhI5SUlFTYFh4eXivf58zMTOnOzNChQy0eY+7IeXt7i/T0dJvPUV3MVOepp56SkouioiKby7sjR8ZMdfLz80VgYKBdf9iqLmbMnbkOHTpYjIn+/fsLACI8PNzi94IqcnTM2JMQXr16VZw/f77S/YWFheL//u//BADRsmXLCvvZl3EMZ/6eEaLq/q+9MSOEY/szfIewHurdu3eV+8eMGSOtHzlypNbPf++990rrKSkpdpW/du1auX2pqanS+t13322xfJcuXaR1nU5n8/ndjaPjxcPDw+YytqgqXsgxFAqFw+reuXOnNJXQtGnTLB4zdepUyOVyGAwGfP/99zafw96YMZfPz89Hdna2zeXdkSNjpjrr169HTk4OAOCFF16oUR1Vxczly5exb98+AKWx6enpWaH8jBkzAABJSUnYs2dPjdrgbpwZM9Vp2rQpWrVqVel+pVKJkSNHAgAuXbokxZ8Z+zKO4eyYqar/a2/MOBoTQjfk5eUlrZvnSaxNe/fuldZbtmxpV/kWLVqU21f268qSk99//x0AIJfL0alTJ5vPT+U5Ol7sVVW8kOtJSkqS1qOioiweo9FopBfnt23bZvM57I0Zc3mNRoOQkBCby9Pt9eWXXwIAWrVqhZ49e9aojqpiZseOHdL6gAEDLJbv1q0bfH19AQBxcXE1agO5lqo+O9mXqZ/s7f86s7/FhNAN7dq1S1rv0KFDrdSZn5+PCxcuYP78+ZgyZQoAoEePHpX+5etWOp0Op06dwvTp07Fo0SIAwLPPPouGDRuWOy4kJASPPvooAOCdd97BsmXLpL+cFRcX46effsKoUaMAAFOmTGGCUAscES/2sjZeylq9ejUiIiKgUqkQEBCAu+++GzExMbh+/frtajbZqKoPRPO+kydPWlVXTWKmLK1WiyNHjmD06NH44YcfAACvvvoq55et4y5fvoxff/0VQPmnHaxhbcycOnUKQOnnU2V/IFAoFGjTpg0A4PTp0za1gxzr9OnTaN++PdRqNTQaDVq3bo2xY8fijz/+sKte82dnWFgYGjRoUG4f+zL1h73937KqipmyHNKfqfWHUKlOy8nJEWFhYQKA6N69u111paamVjqa05AhQ0RWVlaV5Q8ePGixrEKhEKNHj670Jers7GzpfQzzUnZkrg4dOogVK1bYdW1UqjbjpSzzv5st7xDWNF7Mz9wDpaPJBQYGlhv5z8/PT6xfv76Wrsx91dZ7Gt999530b7Nr1y6Lx2RnZ0v/hh4eHpXWVdOYMVuzZo3F8iqVSrz++ut8F8xOt+PdHvMARR4eHiI1NbXa42sSM48++qgAUO3ofkOHDhUARHR0dI2vx9054h1CoHR0x6CgoHKjxMpkMhETE1Ojug8cOCD1SSobNZJ9mdvDEb9n7O3/WmJNzDiyP8M7hG7EZDLhmWeeQWpqKlQqFZYsWWJXfQqFAo0aNUKjRo3K3eYeNmwYFixYgKCgoCrLK5VKqXzZdy5efPFFzJ49G2q12mK5wMBArF+/HlOmTJH+Oq/VamEymQCU/lU3MzOzTj7e6EpqO17sVdN46dWrF2JjY3Ht2jUUFhYiOzsbOTk5iI2NRUhICHJzc/Hkk0/i4MGDt+tSqAp9+/aVfp/MmzfP4jHz58+HEAIAUFJSUum8TzWNGTO1Wi2VN7+bolAoMH36dEyZMsXp76tQ1YxGozTX6eDBgxEaGlptmZrETF5eHgDA29u7yrrN+83Hk3O1atUKCxYswLlz51BQUICsrCzo9Xps374d0dHREEJg3rx50t1ha2VkZOCpp56CyWRCq1atMH36dIvHsS/juuzt/97K2phxaH+mRmkk1aqq5mmzZtm6datV5zEPuw1AfPnll7V6DSaTSVy9elXExMQILy8v4enpKT7//HOryxuNRnHhwgUxfvx4IZfLhUajERs3brR47LFjx0SzZs2EXC4XEyZMECdPnhR6vV5cunRJfPjhh9J8UwMHDrQ47YWrqw/xYq63pqOM2hIvVbl48aIICAio9Tugdc3tiJna/Cvs66+/Lp376aefFmfOnBFFRUUiOTlZxMTECJlMJk09AUCaGqIq9sZMcXGxOHHihDTCaKNGjcSBAwfsucw6zdVixpJNmzZJ7fn5559tLm9tzDz44IMCgOjatWuV9Y0YMUIAEJGRkTa3xRXUh5gxy8/PF/fcc48AIDQajbh586ZV5fLy8sS9994rgNI55o4fP17pse7elxGifsSMvf1fW2KmKvb2Z5gQ1gG34wdiypQp0vEffPCBQ6/HPM+cXC6vUWAvWrRI+iV8/fr1cvtyc3NFo0aNBAAxa9Ysi+V37twp3UKvbC4XV1Yf4sXehLCsquLFGuZHymQymTTfXX3jah+6xcXFYuTIkZW2JzIyUkyePFkApVM/2MremDHPRdisWbN6Oz+Yq8WMJeZHNJs0aWL3471VxQwfGS1VH2KmrB07dkhtW7duXbXH63Q6aW5BjUYj9u7dW+mx7MuUqm8xY2v/15aYsYY9/RkmhHVAQUGByMjIqPFS3TxY06ZNk3543n///dtyTeYfwIkTJ9pcNj8/X6hUKgFALFq0qNy+Tz75RLoWrVZbaR2dO3cWQOlf1uqb+hAvtZkQVhUv1ih7F+Hw4cN2t6cucnTMCOGYD93t27eLESNGiKioKNG8eXNx7733ivnz5wu9Xi/GjRsnAIiOHTvaXK+9MXP58mWbOoquyFVjxiw9PV26i1zT98DKqipmzE9ThISEVFmH+Y7TkCFD7G5PXeTqMXMrnU5n9WehTqeT3u/y8fERu3fvrvJ49mVK1beYKXu+6vq/tsaMNezpzzh2gjCyikqlgkqlckjd06ZNw8KFCwEACxYswNSpUx1ynls1btwYSUlJuHjxos1lvby8EBQUhNTU1Arlz5w5AwBo2LAh/Pz8Kq2jVatWOHbsGBITE20+f11XH+PFHlXFC5VyZMw4Ur9+/dCvXz+L+8xzuXXt2tXmeu2NmSZNmkjr9TXmXDVmzFauXIni4mLIZDKMHj3a7vqqipn27dsDAG7cuIGMjAyLI9cajUacPXsWANCuXTu721MXuXrM1JRer8fgwYOxe/dueHt7Y/PmzejRo0eVZdiXKVUfY8aa/m9NYsbROKhMPTZ16tRynfvKJnmubUII6ZeXed4lW+Tl5SEjI8Niebm8NGQzMzOh1+srrSM9Pb3G53dXzooXe1UVL9Y4dOgQAEAmkyEiIqI2m0YOsn//fqlzbR6a3Rb2xszly5eldf6OqZvMcw/27t27VobsrypmHnzwQWm9snkx9+/fLw0mU9kfOahuMX82AMAdd9xh8Ri9Xo9BgwZh9+7d8PHxwZYtW6ya65J9mfrJmv5vTWPGGvb0Z5gQ1lNTp06VRsZauHBhrXXuS0pKqj0mNjYWaWlpAEpHRLK1/Pvvvy8dd2v5zp07Ayj9ofv8888tlj916hT27dsHALjvvvuqPR85Ll7sZW+8iL9GoqxMYmIili1bBgC4//77ERwcXLOG0m2Tl5eHCRMmACjtWHfp0qXcfntjxpry77zzjrReWx/kVHv27duHc+fOAQBeeOGFao+3N2ZatGiBbt26AQAWLVqE4uLiCuXfffddAEB4eLjT7wRQ9Z8NhYWFiImJAQD4+Pigb9++FY4xd+z37Nljc8eefRnXY2//F7AvZhzen7H7gVWqc6ZPny49Q7x48WKby5edmycxMbHcvl9//VV0795drFq1Sly9erXcvvPnz4vXXntNmsenZcuWFQZc+Prrr8WQIUPEunXrRHp6urTdaDSKP//8U4wdO1Y6d9euXYXJZCpXXqfTSfPiqVQq8fbbb4vMzExp35o1a6T9SqVSnD9/3ubrdzeOjBezW5/7Nx+/ZMmSctv1en25cvbGy/z588Wzzz4rtmzZInJycqTtWq1WrFy5UoSGhgqgdD6fffv22Xzt7iw7O7vcv12zZs0EADFt2rRy2/Py8iqUrS5mDh06JObNmydOnz4tvSNSUFAgNm3aJNq3by+A0lE+k5OTK5S1N2beeust8fTTT1eImeLiYnHo0CHxyCOPSOVHjBhRw++ee3JkzJQ1atQoAUAEBQVZNQKtvTEjROkcYgqFQgAQjz76qEhJSRFCCJGVlSVeeuklqfx3331XbXvob46KmV27dom+ffuKb775plxfpqioSOzcuVN63xOAeO+99yrUrdfrRa9evaTBQPbs2WPTdbEv4ziOihl7+7/2xoyj+zNMCOuZpKQkKZjlcrlo1KhRlYulF6Wr+4Ew7wMgvLy8RHBwsFCr1eW2d+zY0eKH9q0jSvn4+Ijg4GChVCrLbe/Tp0+lE3v+9ttvomHDhuWO9/X1LTc5p7e3t1i7dm1tfEvrNUfHi1nZf6uqlltf+rY3Xsq2zRwnQUFB0uSvQOlEwPV1YBBHMr84X90yatSoCmWri5kNGzaUi8vAwECpsw1AtG7dWpw7d85iu2o7ZjQajQgODi43zQUA8eSTT4r8/Hx7v41uxZExY5abmyu8vb0FAPHyyy9b1a7a+FwSQogVK1aUm9g8ICCg3OfS7RrUoj5xVMzc2pdRq9UVfs7lcrmYOXOmxXatXLmyXD+ous/O/fv3V6iDfRnHuF0xY2v/196YcXR/hoPK1DPmCU3N6+bnzyuj0+lsqj86OhqrVq3Crl27cPToUaSlpSErKwsqlQotW7ZE586d8dhjj+Hxxx+3OGnz4MGDsXz5cuzatQt//vkn0tPTkZOTA7VajRYtWuCee+7B8OHDMWjQoErb0KVLFyQkJODTTz/F5s2bce7cOeTm5sLHxwctWrRA37598e9//7tW3hup7xwdL/ayN16GDRsGIQQOHjyIixcvIisrC7m5uQgMDETbtm3Rr18/jBs3Do0aNbqt10VVi46OxvTp07Fnzx4kJiYiOzsbDRo0QPv27fH4449jzJgxUCqVFsvaGzOjR49GgwYNsGvXLpw5cwY3btxATk4ONBoNmjdvjvvuuw/PPPOM9Igg1S1r1qyBwWAAYN3jokDtfC6Zz9e5c2csWrQIu3fvRkZGBkJCQnDfffdh4sSJ6NOnj93XR7WjQ4cOWLhwIQ4ePIiTJ08iMzMTN2/ehLe3N6KiotC9e3eMGzcOHTp0sFi+7GdnQUEBCgoKqjxfUVFRhW3sy7gWe/u/9saMo/szMiGqeSiViIiIiIiI6iUOKkNEREREROSmmBASERERERG5KSaEREREREREbooJIRERERERkZtiQkhEREREROSmmBASERERERG5KSaEREREREREbooJIRERERERkZtiQkhEREREROSmmBASERERERG5KSaEREREREREbooJIRERURUaN24MmUyGl19+2dlNISIiqnVMCImIiCqRnp6O1NRUAEDnzp2d3BoiIqLax4SQiIioEkePHpXWmRASEVF9xISQiIioEseOHQMAeHl5ISoqysmtISIiqn1MCImIiCphTgg7dOgADw8Pm8qePn0akyZNQlRUFHx9faHRaNClSxcsW7YMRqOx2vI7duzAI488gpCQEKjVanTo0AFLly6FEAIffPABZDJZlXctk5OT8frrr6Nz584ICAiASqXCnXfeiYkTJ+L69es2XQsREdVftn26ERERuRHzI6O2PC4qhMBbb72Ft956CyUlJQAAPz8/5OXl4fDhwzh8+DB+/vln/Pzzz/D09KxQvqSkBOPHj8eKFSsAADKZDH5+fjh16hQmTpyIEydOQCaTAQA6depksQ1Lly7FlClTUFRUBADw8fGBEAKXLl3C0qVL8d1332H37t1o27at9d8MIiKql3iHkIiIyIKsrCwkJycDAKKjo60uN23aNMyePRsymQxz585Feno6tFotdDodlixZAk9PT2zfvh1vv/22xfKvvfYaVqxYAQ8PD8yZMwfZ2dm4efMm0tLS8NRTT2HFihX48ccfAVhOCJcsWYKJEydCo9HgvffeQ2pqKnQ6HQoKCrBnzx5ERUUhIyMDo0ePtv2bQkRE9Y5MCCGc3QgiIqK6ZseOHejXrx8A4MiRI1Ylhf/73//w9NNPQ6FQYNOmTRgwYECFY15++WUsWbIEISEhSEtLk+72AUBcXBz69+8PmUyGzZs3Y+DAgeXKFhcXo23btrh06RIAYP/+/bj//vul/fv27UPPnj0RFhaGnTt3ok2bNhXOf+7cOWn7lStXEB4ebsV3g4iI6iveISQiIrLA/P6gp6cnOnToUO3xJSUlmD59OoDSpM9SMghA2n7jxg1pSguzmTNnAgDGjx9fIRk0t8WcpMrlcnTs2FHaJ4TA5MmTYTKZ8Mknn1hMBgGgdevW8Pf3BwDpDigREbkvJoREREQWmN8fbNeuHZRKZbXHb968GdeuXYNCocCkSZMqPS4sLExaLy4ultYPHDiAo0ePQqFQ4LXXXqu2fGRkJHx8fKTt+/fvx5EjRwAA48aNQ2hoaKWLVqsFAHh7e0vlExISIJPJMHHixGqvlYiI6g8OKkNERGSB+Q6htQPK7NixAwDQo0ePKh/DNCdjABAcHCytb9q0CQBw9913o1mzZtWWv/X9wZ9//llaT09Pt6rNLVu2lNaPHz9usV4iIqrfeIeQiIjoFlqtFpcvXwZgfUJ48uRJACj3GKclJ06cAFDxDt8ff/wBoDQhrMqpU6cststc73vvvQchhFVLQEBAhfPfdddd1VwpERHVJ0wIiYiIbvHHH3/APOaatQlhTk4OgNIpJqry008/AQAefPDBctvT0tIAAEFBQZWW1Wq12Lt3L4CKd/LMdwXVarVV7b3V8ePH4enpiXbt2tWoPBERuSYmhERERLcwPy6qUCiqveNnptFoAKDCQDFlHTx4EL/88gsAVJj2QS4v/Uiu6nHPjz76CAaDAUDFhFChUAAALl68aFV7b3X8+HG0bdsWKpWqRuWJiMg1MSEkIiK6hXlAmTZt2pQbeKUq5juJO3fuLDdYjFlaWhqeeeYZCCEwYsSICnceW7VqBaD0XURL5fft24f58+cDAMLDwyvcSWzfvj0AYPXq1cjIyKiyrVlZWeW+TklJQUZGBt8fJCJyQ0wIiYiIbmG+Q9ihQwfodLoql5KSEgDACy+8ALlcjsTERDz33HPSncLCwkJ8//336NKlCy5duoTOnTvjs88+q3DOxx57DACQmJiIUaNGSY+Q5uXl4eOPP8aAAQNgMpkAWH6M9cUXXwRQmux17doVP//8M/R6vbQ/KSkJK1euRJ8+fbBq1apyZc0DyvD9QSIi98OJ6YmIiMrQ6/Xw8/OTkq/qbNiwAUOHDgUALFiwoNyUEX5+ftDr9TAajQCA/v3745tvvkHDhg0r1COEwEMPPYQtW7aUK5+XlwchBIYPHw6dTodNmzbhvffek+Y8LGvRokWYPn261HaZTIbAwEDo9XoUFhZKx8XHx6NPnz7S12+99RZmzZqFXbt2oWfPnhavs7CwEBMmTEB8fDwyMzPRrFkzzJgxA88884xV3yciIqqbeIeQiIiojOPHj1udDALl76pNnz4d27ZtQ//+/REYGIiCggI0adIEQ4cOxbp167Bt2zaLySBQmrytX78es2bNQosWLeDp6Qm1Wo2HHnoImzZtwldffYXdu3cDQLlkrqwpU6bg0KFDePbZZ9GiRQsolUqpDT169MCcOXNw7NixCuWtuUNYUlKCxo0bIz4+HlqtFp9//jkmTJiAAwcOWP29IiKiuod3CImIiFzAV199hTFjxqBNmzZISEio1bpbtGgBANJUG9YaNGgQHnjgAbz66qu12h4iIrp9eIeQiIiojjt58iQmTZoEAIiJianVurVaLRITE20eUMZgMODo0aOcpoKIyMV5OLsBREREBIwaNQqDBw9G37590aBBAwClI5N+++23mDt3LnQ6HR5++GGMHDmyVs9rflw0KysL7777boX9UVFR+Oc//1lumxACzz33HO6++27069evVttDRES3Fx8ZJSIicjKdTgc/Pz+YP5K9vb3h6ekJrVYrHTNixAh88cUXNZ54vjIffvghJk+eXOn+WbNmYe7cudLXQgj861//wqlTp7B9+3Zp/kUiInJNTAiJiIicTKfTYdmyZdi+fTsuXryIjIwMyGQyNG7cGF27dsXo0aMrHf3zdhJCYMKECTh8+DDi4+Ph5+fn7CYREZGdmBASERGRVSZMmICDBw8iPj4egYGBzm4OERHVAiaEREREVK2kpCRERERApVLBw+PvIQhmzpyJmTNnOrFlRERkDyaEREREREREborTThAREREREbkpJoRERERERERuigkhERERERGRm2JCSERERERE5KaYEBIREREREbkpJoRERERERERuigkhERERERGRm2JCSERERERE5KaYEBIREREREbkpJoRERERERERuigkhERERERGRm/p/+BIhvcp6eVsAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.038871184569964495\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.11256589978763908\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.05634103036588654\n"
     ]
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import numpy as np\n",
    "\n",
    "# df = pd.read_csv('./images/128/C4_298_relu/l2-last.csv')\n",
    "df = pd.read_csv('./images/128/C2_double/l2-last.csv')\n",
    "\n",
    "vals = []\n",
    "for i in [1, 2, 3]:\n",
    "\tfig = plt.figure(figsize=(10, 6))  # Set the figure size\n",
    "\tplt.rcParams['font.size'] = 18  # Default font size\n",
    "\t\t# plt.rcParams['axes.titlesize'] \t\t= 18  # Font size for axes titles\n",
    "\t\t# plt.rcParams['axes.labelsize'] \t\t= 16  # Font size for axes labels\n",
    "\t\t# plt.rcParams['xtick.labelsize'] \t= 12  # Font size for x-tick labels\n",
    "\t\t# plt.rcParams['ytick.labelsize'] \t= 12  # Font size for y-tick labels\n",
    "\t\t# plt.rcParams['legend.fontsize'] \t= 20  # Font size for legend\n",
    "\t\t# plt.rcParams['figure.titlesize'] \t= 20  # Font size for figure title\n",
    "\tdata = np.log10(df[f'l2_bd{i}'])\n",
    "\tax = sns.histplot(\n",
    "\t\t# df[f'l2_bd{i}'].rolling(window=5).mean(),b\n",
    "\t\tdata,\n",
    "\t\tbins=50,  # Number of bins\n",
    "\t\tkde=True,  # Add KDE (Kernel Density Estimate)\n",
    "\t\tstat='probability',  # Normalize the histogram\n",
    "\t\tcolor='crimson',  # Color of the bars\n",
    "\t\tedgecolor='black'  # Color of the edges,\n",
    "\t\t\n",
    "\t)\n",
    "\tprint(df[f'l2_bd{i}'].mean())\n",
    "\tvals.append(df[f'l2_bd{i}'].values)\n",
    "\t# Customization\n",
    "\tplt.title(f'$BC_{i}$')  # Title of the plot\n",
    "\tplt.xticks(np.linspace(data.min(), data.max(), 6))\n",
    "\tplt.xlabel('$Log e_{L_2}$')  # X-axis label\n",
    "\tplt.ylabel('Probability')  # Y-axis label\n",
    "\tplt.grid(True)  # Show grid lines\n",
    "\tplt.show()\n",
    "\tfig.savefig(f'./test_bd{i}.png')\n",
    "\tplt.close()\n",
    "vals = np.vstack(vals)\n",
    "print(vals.mean())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(6000, 1)\n",
      "0.05634103036588654\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "<>:25: SyntaxWarning: invalid escape sequence '\\m'\n",
      "<>:25: SyntaxWarning: invalid escape sequence '\\m'\n",
      "/tmp/ipykernel_55992/358733165.py:25: SyntaxWarning: invalid escape sequence '\\m'\n",
      "  plt.title('$\\mathcal{P}_{BC}$')  # Title of the plot\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import numpy as np\n",
    "df = pd.read_csv('./images/128/C2_double/l2-last.csv')\n",
    "\n",
    "all_data = pd.concat([df[f'l2_bd{i}'] for i in [1, 2, 3]]).reset_index(drop=True)\n",
    "df1 = pd.DataFrame({'all': all_data})\n",
    "print(df1.shape)\n",
    "\n",
    "fig = plt.figure(figsize=(10, 6))  # Set the figure size\n",
    "plt.rcParams['font.size'] = 18  # Default font size\n",
    "data = np.log10(df1['all'])\n",
    "sns.histplot(\n",
    "\tdata,\n",
    "\tbins=50,  # Number of bins\n",
    "\tkde=True,  # Add KDE (Kernel Density Estimate)\n",
    "\tstat='probability',  # Normalize the histogram\n",
    "\tcolor='navy',  # Color of the bars\n",
    "\tedgecolor='black'  # Color of the edges\n",
    ")\n",
    "print(df1['all'].mean())\n",
    "\n",
    "# Customization\n",
    "plt.title('$\\mathcal{P}_{BC}$')  # Title of the plot\n",
    "plt.xticks(np.linspace(data.min(), data.max(), 7))\n",
    "plt.xlabel('$Log e_{L_2}$')  # X-axis label\n",
    "plt.ylabel('Probability')  # Y-axis label\n",
    "plt.grid(True)  # Show grid lines\n",
    "plt.show()\n",
    "fig.savefig(f'./all_test.png')\n",
    "plt.close()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "pytorch",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
